managerial statistics term paper

Upload: lianne-gonzalvo

Post on 04-Apr-2018

218 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/30/2019 Managerial Statistics Term Paper

    1/103

    A STUDY ON THE PERFORMANCE OF THOMSON REUTER MANILAS

    CASES-GENERALIST TEAM

  • 7/30/2019 Managerial Statistics Term Paper

    2/103

    Table of Contents

    Abbreviations and Acronyms ..................................................................................................................... i

    Executive Summary ................................................................................................................................... ii

    INTRODUCTION ......................................................................................................................................... 1

    Nature and Scope of the Study ............................................................................................................. 1

    PROBLEM DEFINITION............................................................................................................................... 3

    Purpose of the Study ............................................................................................................................. 3

    Significance of the Study ....................................................................................................................... 3

    Current Knowledge about the Problem ................................................................................................ 4

    Preliminary Hypotheses ........................................................................................................................ 4

    METHODOLOGY ........................................................................................................................................ 5

    Analytical Procedure ............................................................................................................................. 8

    DATA PRESENTATION .............................................................................................................................. 12

    Descriptive Statistics of Key Variables ................................................................................................ 12

    STATISTICAL ANALYSIS ............................................................................................................................ 19

    Analysis of Performance based on Output ......................................................................................... 19

    Analysis of Performance based on Errors ........................................................................................... 26

    Analysis of Performance based on Output vs. Benchmark ................................................................. 40

    Analysis of Performance based on Independence between Error Types ........................................... 43

    Analysis of Performance based on Output of Multiple Sample Means .............................................. 46

    Analysis of Factors Affecting the Performance based on Output and Error....................................... 47

    Conclusion ........................................................................................................................................... 49

    RECOMMENDATIONS ............................................................................................................................. 51

    APPENDICES ............................................................................................................................................ 52

    Audit Criteria ....................................................................................................................................... 52

    PH-Stat Results .................................................................................................................................... 53

    BIBLIOGRAPHY ........................................................................................................................................ 96

  • 7/30/2019 Managerial Statistics Term Paper

    3/103

    Tables and Figures

    List of Tables

    Table 1 Team Performance by Output ........................................................................................................ 16

    Table 2 Number of Errors Committed by Team .......................................................................................... 17Table 3 Number of Errors Committed by Gender ....................................................................................... 17

    Table 4 Number of Errors Committed by PS Level...................................................................................... 17

    Table 5 Number of Errors Committed by Age............................................................................................. 18

    Table 6 Number of Errors Committed by Tenure ....................................................................................... 18

    Table 7 Number of Sub-Type Errors Committed by Team .......................................................................... 18

    Table 8 Number of Sub-Type Errors Committed by Gender ....................................................................... 18

    Table 9 Number of Sub-Type Errors Committed by PS Level ...................................................................... 18

    Table 10 Number of Sub-Type Errors Committed by Age........................................................................... 19

    Table 11 Number of Sub-Type Errors Committed by Tenure ..................................................................... 19

    List of Figures

    Figure 1 Frequency Distribution by Age ...................................................................................................... 12

    Figure 2 Frequency Distribution by Gender ................................................................................................ 13

    Figure 3 Frequency Distribution by Income ................................................................................................ 13

    Figure 4 Frequency Distribution by Tenure ................................................................................................ 14

    Figure 5 Error Categories and Sub-Categories ............................................................................................ 17

  • 7/30/2019 Managerial Statistics Term Paper

    4/103

    i

    Abbreviations, Acronyms, and Definitions

    Workflow: A progression of functions that comprise a work process, involve a group of people, and

    create or add value to the organizations activities.

    Team: A group of people working on a common workflow. In the study, it is composed of Teams H and

    M.

    Name: A personal identification of the member of the team.

    Wave: A type of hiring process where a company hires in groups. In this case, wave is indicated by

    numbers which identifies when the member was hired. Wave 1 is the very first wave hired and wave 8 is

    the last. All the next hires after wave 8 do not come in groups anymore.

    Function: A step or task in order to complete a work process. The team being observed in this study has

    three functions:

    a) Statute Verification (SV): The process of verifying and styling laws cited in a case.

    b) Opinion Verification (OV): The process of verifying case laws cited in a case.

    c) Copy Preparation (CP): The process of copy editing and preparing the case for publication.

    PS Level: It stands for Publishing Specialist Level, which refers to the position label or hierarchy of teammembers in this study.

    Total cases: Total number of cases processed by a team member.

    Total number of pages: Sum of the pages of cases processed.

    Production hours: Number of hours spent in doing the function.

    Average Pages per Hour: Computed as total number of pages divided by production hours.

    Transition Phase Benchmark: Daily performance metrics; the higher the position, the higher the

    benchmark is set.

  • 7/30/2019 Managerial Statistics Term Paper

    5/103

    ii

    Executive Summary

    This research study report is submitted by Group 2 in partial fulfillment of the course

    Management Statistics 501M under Ms. Maria Angeli Reyes. The subject of the study is the

    performance of the Manila Cases-Generalist Team of Thomson Reuters, a leading and

    worldwide intelligent information provider. The purpose of the study was to evaluate the

    performance of two sub-teams vis--vis performance benchmarks and other variables of

    interest.

    The specific objectives of the study were: 1) to assess and compare the performance of

    two sub-teams of the Cases-Generalist workflow on statute verification, opinion verification,

    and copy preparation functions; 2) to determine the process area where higher numbers of

    errors have been committed to recommend ways for improvement of the workflow process; 3)

    to identify factors which significantly affect the number of errors committed by team members

    in each of the workflow process; and 4) to provide feedback to the Team and Management on

    the result of the performance assessment for the purpose of further improving effectiveness

    and efficiency. The research study is observational and retrospective and employed descriptive

    statistics to summarize data, Chi-Square statistics to test the independence of variables, means

    hypotheses to compare performance against benchmarks, between teams, gender, age ranges,

    seniority levels, analyses of variance to compare performance among wave levels, and linear

    regression to determine linear relationships between production and age, income, and tenure.

    Data was provided by Thomson Reuter Manilas Cases-Generalist team managers and was

    processed using Excel and its add-in PHStat.

    Two-tailed hypothesis tests indicated that there is no difference in the means of total

    production hours and average production per hour between sub-teams, members with age

    ranges 24 and >24, and members with tenureof

  • 7/30/2019 Managerial Statistics Term Paper

    6/103

    iii

    With regards to PS level, we found no differences in the means of all errors by PS 1 and

    2, and no differences in the means of copy preparing, statute verification, opinion verification,

    content, and major content errors. There is a significant difference in the means of stylistic

    errors, with PS 2 having committed more error on average. With regards to age, we found no

    differences in the means of all errors by members with ages 24 and >24, and no differences in

    the means of copy preparing, statute verification, opinion verification, stylistic, content, and

    major content errors. With regards to tenure, we found no differences in the means of all errors

    by members with tenure of

  • 7/30/2019 Managerial Statistics Term Paper

    7/103

    iv

    Analysis of variance showed that there is no significant difference in the performance of

    among the six Waves that comprised the Teams in terms of total cases and average page per

    hour production. On the other hand, regression analysis found no linear relationship between

    average per hour production and members age, income, and tenure. It also found no linear

    relationship between members total errors and their age, income, and tenure.

    Overall, members of the Cases-Generalist Team seem to be performing well. However,

    based on research results, it is recommended that review should be conducted for Team H on

    statute verification and for Team M on opinion verification and copy preparing. It is also

    suggested that review on stylistics should be conducted for PS level 2 and for members with

    tenure of more than 2.5 years. Finally, more intensive training should be conducted for new

    hires on opinion verification as this seems to be a weakness that should be addressed.

  • 7/30/2019 Managerial Statistics Term Paper

    8/103

    1

    INTRODUCTION

    Nature and Scope of the Study

    Thomson Reuters is an intelligent information provider. It publishes credible information

    both in printed and online publications covering financial, governance, risk, and compliance,

    intellectual property, legal, media, science, and tax and accounting products and services. These

    products and services have their respective departments that work closely on the information to

    be provided to its customers. Its values Business is Global, Customers are the Heart of

    Everything, People Make the Difference, and Performance Matters all aim to uphold quality work

    from its employees in order to satisfy its customers.

    The Legal Department of Thomson Reuters has strategically moved some of its

    operations in Manila last June 2009. With a huge amount of work being transitioned from

    employees in the US who have been working for several years to Manila employees who have

    just learned how to process information, the company aims to keep its work at its best quality.

    This case study focuses on one of the workflow in the Legal Department in the Manila

    branch, which is the Cases-Generalist workflow. Due to a big number of members, the Cases-

    Generalist workflow is divided into two (2) sub-teams with a total of 35 members. The team

    works on live Federal and state cases in all US jurisdictions. The case being reviewed goes

    through three (3) processes before it is submitted and published online at Westlaw.com:

    1) Statute verification: Team members check the correct citation of state and Federal

    laws;

    2) Opinion verification: Team members check the correct citations to previous court

    cases; and

    3) Copy Preparation: Team members check the spacing, indention, spelling errors,

    more on how the document looks like.

    Each member of the team is tasked to achieve a certain metrics or quota within a day.

    The metrics depend on the workflow he or she is assigned to. Since statute verification is the

  • 7/30/2019 Managerial Statistics Term Paper

    9/103

    2

    fastest to do as not all cases cite a lot of laws, statute verifiers are tasked with a larger metrics to

    follow. The longest process is the copy preparation as copy preparers do not look for available

    citations to verify, but rather verify the whole case for any typographical errors. Metrics also

    depend on the position of the team members in the company. The higher the hierarchy, the

    higher metrics he or she must achieve within the day. To ensure the quality of work against the

    quantity of work, a quarterly audit is held by their mentors in the US. These mentors follow a

    certain audit criteria (See Appendices) and send feedback on the errors of the team members.

    Team members are always expected to have very minimal errors to no errors at all. Both

    quantity and quality of work are set in each of the team members annual objectives affecting

    their annual bonus and appraisal. The study seeks to evaluate the performance of team

    members against benchmarks and other variables such as age and tenure, and to assess factors

    that may affect how errors occur in the workflow spectrum.

    This study is observational in nature as no treatments will be applied to the elements of

    the study, i.e. members of the cases-generalists teams. It is also a retrospective study as data

    have been collected about the elements (or sample) with regards to performance outcomes that

    have already taken place. With regards to scope, the sample comprises of 28 cases-generalist

    team members (14 members each from the two sub-teams) whose performances for two

    quarters of the year will be assessed and compared. It should be noted that complete audit

    data is available only for the 2nd and 3rd quarter of 2012 as no audit was conducted during the 1st

    quarter and the 4th

    quarter is still ongoing.

  • 7/30/2019 Managerial Statistics Term Paper

    10/103

    3

    PROBLEM DEFINITION

    Purpose of the Study

    The general objective of this study was to evaluate the performance of the two sub-

    teams of the Cases Generalist Team vis--vis performance benchmarks and other independent

    variables such as gender and tenure. Specifically, the study aimed to:

    1) To assess and compare the performance of two sub-teams of the Cases-Generalist

    Team on statute verification, opinion verification, and copy preparation workflows;

    2) To determine the process area where higher numbers of errors have been

    committed to recommend ways for improvement of the workflow process;

    3) To identify factors which significantly affect the number of errors committed by

    team members in each of the workflow process; and

    4) To provide feedback to the Team and Management on the result of the

    performance assessment for the purpose of further improving effectiveness and

    efficiency;

    Significance of the Study

    While Thomson Reuters use regular metrics to assess individual performance against

    performance benchmarks, there have been no existing studies or written analysis on the

    performance of the Cases Generalist Team of Thomson Reuters that compares the performance

    of sub-teams, and that examines the relationship between performance, workflow errors and

    variables such as gender and tenure. The primary beneficiary of this study is the Legal

    Department of the company who will learn from the implications of the results of this study.

    These will serve as input on what they can do to maintain or improve, if needed, the workflow

    performance of the Cases Generalist Team.

    Each team member provides raw data to their managers on how many cases and how

    many pages they processed and how long they processed them. The managers are tasked to

    summarize all of the members production statements and present it to higher management to

  • 7/30/2019 Managerial Statistics Term Paper

    11/103

    4

    see whether the team is hitting targets or having backlogs into the cases being sent from the US.

    No other study with regards as to why they perform as such had been conducted in the past.

    This study will also give team members a statistical analysis of their production outputs

    and workflow errors. With the results that will be analyzed in this study, team members will gaininsights on how they perform as a team.

    This study will also provide the readers a general idea of the workflow of the Cases

    Generalist Team. This will make them appreciate what it is like to be in a team of young,

    competitive and enthusiastic professionals, who work on tedious U.S. cases. US cases or cases in

    general are very delicate products as the information they contain serve as basis for the

    credibility of attorneys, basis of court decisions, and ultimately, basis of justice. Studying

    performance on a workflow that involves this delicate information is relevant as implications aresignificant.

    Current Knowledge about the Problem

    Basically, each member knows about his or her accomplishment, since at the end of the

    week they submit a summary performance to their manager. It also known to them how the

    other team is performing based on performance metrics. But by connecting one variable to

    another, the study will give them a sense of how their performance can be further evaluated.

    Because the study is observational in nature, it will answer questions that provide statistical

    inferences about performance and relationships among variables of interest.

    Preliminary Hypotheses

    A number of assumptions have been considered in formulating the preliminary

    hypotheses. First, the training provided by Thomson Reuters to members of the cases generalist

    term was deemed to be standardized and to be effective in providing requisite skills and

    knowledge. Second, weekly performance metrics provided to all team members is succeeding in

    driving peak performance and compliance with benchmarks among all team members.

  • 7/30/2019 Managerial Statistics Term Paper

    12/103

    5

    Therefore, the following are the preliminary hypotheses of the study:

    1) There is no difference in the performance of two sub-teams of the Cases-Generalist

    Team on statute verification, opinion verification, and copy preparation workflows with

    regards to transition phase benchmarks;2) There is no difference in the workflow errors of the two Cases-Generalist sub-teams;

    and

    3) There is no difference in the performance and workflow errors vis--vis variables such as

    age, gender, income and tenure.

    METHODOLOGY

    This study made use of secondary data in determining the performance of the Cases-

    Generalist workflow. Weekly, each team member sends his or her production statements

    composed of the number of cases and pages made across all the jurisdictions he or she handles

    and how long it took him or her to finish everything. From these raw data, the managers of each

    team consolidate all information per team into one Microsoft Excel spreadsheet. The

    researchers were able to ask the secondary data from the managers. There was a limitation on

    getting the raw data from each of the team members as not all of them were able to keep their

    data from the time period that the researchers wanted to explore. Also, it was very time

    consuming to gather data from each of the 35 members of the team. The secondary data of the

    managers truly reflects the raw data. It is complete and comprehensive, thus the researchers

    opted to use it. The complete data was filtered down to two (2) quarter, the secondand third

    quarters of 2012, as data is complete for these. Due to the busy work schedule of the US

    counterparts of the teams during the first quarter, they were not able to audit cases.

    Meanwhile, the fourth quarter is still on-going. The secondary data were provided by the Cases-

    Generalist workflow team managers who sent the data through electronic mail.

    The Cases Generalist Team of Thomson Reuters was purposively chosen since one of the

    members of our group (Group 2 of Managerial Statistics class) belongs to it. In addition to the

    statistical exercise which results can be utilized by Thomson Reuters, we also want to have an

  • 7/30/2019 Managerial Statistics Term Paper

    13/103

    6

    appreciation of what it is like to work in a multinational company, which handles foreign

    accounts, specifically federal and state cases.

    The Cases-Generalist Team is composed of 35 members. It is divided into two sub-

    teams: Team H and Team M. From each team, we purposely selected 14 members who havecomplete records comprising of audit and performance information. The following shows the

    list of variables, the way these will be measured, and the analysis that will be performed. Each

    heading (i.e., A, B, C) corresponds to an Excel file that was provided by Thomson Reuters Cases-

    Generalist Team Manager.

    A.Individual Production Summaries

    Variable Class Level of Measurement

    1. Team Qualitative Nominal

    2. Name Qualitative Nominal

    3. Wave Qualitative Ordinal

    4. Function Qualitative Nominal

    5. PS Level Qualitative Ordinal

    6. Total Cases Quantitative (discrete) Ratio

    7. Total Number of Pages Quantitative (discrete) Ratio

    8. Production Hours Quantitative (continuous) Ratio

    9. Average Pages per Hour Quantitative (continuous) Ratio

    10.Transition Phase Benchmark Quantitative (discrete) Ratio

    Definition

    1. Team- Composed of Teams H and M

    2. Name- Name of the Team Member

    3. Wave- Indicates when the member was hired (wave 1 being the earliest, wave 7 being

    the last. The company hires until wave 9.

    4. Function- Each team has three functions:

    a. SV - statute verification - process of verifying and styling statutes/laws cited in a

    case

    b. OV - opinion verification - process of verifying case laws cited in a case

    c. CP - copy preparing - process of copy editing and preparing the case for publication

  • 7/30/2019 Managerial Statistics Term Paper

    14/103

    7

    5. PS Level- Publishing Specialist - position label or hierarchy.6. Total Cases- Total number of cases processed

    7. Total Number of Pages- Number of pages per case

    8. Production Hours- Number of hours spent doing the function

    9. Average Pages per Hour- computed as total number of pages divided by production

    hours

    10.Transition Phase Benchmark daily performance metrics; the higher the position, the

    higher the benchmark is set.

    Measurement

    1. Mean of total cases, total number of pages, production hours, per team

    2. Mean of total cases, total number of pages, production hours, per wave

    3. Mean of total cases, total number of pages, production hours, per function

    4. Mean of total cases , total number of pages, production hours, per PS level

    B.Audits/Analysis of Performance Errors

    Variable Class Level of Measurement

    1. Team Qualitative Nominal

    2. Name Qualitative Nominal

    3. Wave Qualitative Ordinal

    4. Function Qualitative Nominal5. PS Level Qualitative Ordinal

    6. Copy Preparing Errors Quantitative (discrete) Ratio

    7. Opinion Verification Errors Quantitative (discrete) Ratio

    8. Stylistic Errors Quantitative (discrete) Ratio

    9. Content Errors Quantitative (discrete) Ratio

    10.Major Content Errors Quantitative (discrete) Ratio

    11.Overall Quality Rating Quantitative (continuous) Interval

    Measurement

    1. Means and standard deviation of all types of errors

    2. Means and standard deviation of each type of error (Copy Preparing, Statute

    Verification, Opinion Verification)

  • 7/30/2019 Managerial Statistics Term Paper

    15/103

    8

    3. Means and standard deviation of each subtypes of error (Stylistics, Content, Major

    Content)

    4. Means of each type and subtype of error per team, per gender, per PS level, per age

    range, per tenure duration

    C. Member Information

    Variable Class Level of Measurement

    1. ID Qualitative Nominal

    2. Name Qualitative Nominal

    3. Role Qualitative Nominal

    4. Wave Qualitative Nominal

    5. Team Qualitative Nominal

    6. Age Qualitative Ordinal7. Tenure Quantitative Interval

    8. Income Quantitative Interval

    Measurement

    1. Count of members (by name)

    2. Count of roles (copy preparing, statute verification, opinion verification)

    3. Count of wave

    4. Count of Team membership

    5. Mean, median, frequency distribution, etc. of age

    6. Mean, median, frequency distribution, etc. of tenure

    7. Mean, median, frequency distribution, etc. of income

    Analytical Procedure

    Descriptive statistics was used in analyzing the performance basis of each team.

    Frequency distributions and proportions based on the frequency tables were computed. The

    average output of each team (based on total cases, number of pages, production hours, average

    pages per hour and number of errors) were also calculated.

    To present a comparison on the performance of the two teams based on output and

    errors, two-sample hypothesis testing will be used. Two-sample hypothesis testing is statistical

  • 7/30/2019 Managerial Statistics Term Paper

    16/103

    9

    analysis designed to test if there is a difference between two means from two different

    populations. In this case, a two-tailed test regarding the differences will be applied.

    Since the samples of size is less than 30 and are taken from normally-distributed

    populations, a t-test was used to test the difference between the population means1and2:

    1. Comparison of the performance of two teams by:

    a) Total Cases Submitted

    b) Total Number of Pages per case

    c) Production Hours

    d) Average Pages/Hour

    2. Comparison of the performance of members Using Total Cases SubmittedAverage Pages per Hour and Total Number of Errors per Type of Error by:

    a) Gender

    b) Age (24 Years Old and Below, Above 24 Years Old)

    c) Tenure (below 2.5 years, 2.5 years and more)

    d) PS Level

    A two-sample z-test was used to test the difference between two sample means and

    when a large sample (at least 30) is randomly selected from each population and the

    samples are independent. When the samples are less than 30, t-test was used to test

    the difference between the sample means.

    3. Total Number of Errors Committed by:

    a) Team

    b) Gender

    c) PS Level

    d) Age (24 Years Old and Below, Above 24 Years Old)

    e) Tenure (below 2.5 years, 2.5 years and more)

  • 7/30/2019 Managerial Statistics Term Paper

    17/103

    10

    To assess the performance (using the average pages per hour) of each team against the

    Transition Phase Benchmark (target), one-sample hypothesis testing was used. A one sample

    test is a hypothesis test for answering questions about the mean where the data are a random

    sample of independent observations from an underlying normal distribution N. In this case, an

    upper-tailed test regarding the differences was applied.

    The t-test for the mean is a statistical test for a population mean. The t-test can be used

    when the population is normal or nearly normal, is unknown, and n < 30.

    1. Members of Statute Verification vs. Transition Phase Benchmark

    2. Members of Copy Preparing vs. Transition Phase Benchmark

    3. Members of Opinion Verification vs. Transition Phase Benchmark

    To check if there is a difference in total cases processed and average pages per hour of

    waves 3,5,6,7 and 8.5, analysis of variance (ANOVA) was used. ANOVA is used to compare

    means between three or more groups, in this case, the period when the employee was hired

    (wave). The ANOVA F-Test is a comparison of the average variability between groups to the

    average variability within groups. The variability within each group is a measure of the spread of

    the data within each of the groups. The variability between groups is a measure of the spread of

    the group means around the overall mean for all groups. In this case, a single-factor ANOVA

    analysis was used.

    The Chi-Square statistic compares the counts of categorical responses between

    independent groups. In this study, The Chi-square distribution was used to test the

    independence between types as well as subtypes of errors committed vis--vis team

    membership, gender, PS level, age, and tenure. It should be noted that in comparing the counts

    of categorical responses between PS levels, PS level 3 (the highest level) was not included since

    there was only one person in this category who performed just one function. Further, the test

    was not used to compare categorical responses according to Wave since not all Waves perform

    all functions (i.e. copy preparing, statute verification, opinion verification).

  • 7/30/2019 Managerial Statistics Term Paper

    18/103

    11

    Regression analysis was done to estimate or predict the value of the dependent variable

    (average pages per hour and total number of errors committed) on the basis of known

    independent variables (age, tenure, salary, gender). The equation that was used is given below:

    Y= f(X1, X2. Xn ),

    Where:

    Y=Average Pages per Hour

    Number of Errors Committed

    X1=Gender

    X2=Age

    X3=Income

    X4=Tenure

    All the data processing and analysis were done with the help of MS Excel and its add-in

    PH-Stat.

    In all the statistical tests performed in this study, a 95% CI is used, which indicates that

    we are 95% certain where the true unknown parameter lies.

  • 7/30/2019 Managerial Statistics Term Paper

    19/103

    12

    DATA PRESENTATION

    Descriptive Statistics of Key Variables

    This part of the study is a graphical presentation of the different frequency distributions

    of the factors examined in the case. Mainly, the researchers used the Excel Chart Wizard to

    produce the figures below.

    In Figure 1, the number of people aged 24 years and below is faintly higher in Team H

    than Team M. However, those aged above 24 years are higher in Team M than Team H. Also, the

    bar graph depicts that there are more 24 years old and below employees than above 24 years

    old employees.

    Figure 1. Frequency Distribution by Age

    Figure 2 portrays that there are more females than males in the Cases-Generalist

    workflow. Females are slightly higher in number in Team H than Team M, while there are slightly

    more males in Team M than Team H.

    0

    1

    2

    3

    45

    6

    7

    8

    9

    10

    Team H Team M

    Age

    24 years old and

    belowAbove 24 years old

  • 7/30/2019 Managerial Statistics Term Paper

    20/103

    13

    Figure 2. Frequency Distribution by Gender

    Figure 3 shows that income ranging from 19K-25K and above 25K are equally distributed

    in both Team H and Team M. There is no difference in the frequency distribution of the given

    range of incomes.

    Figure 3. Frequency Distribution by Income

    0

    2

    4

    6

    8

    10

    12

    Team H Team M

    Gender

    Female

    Male

    0

    1

    2

    3

    4

    5

    6

    7

    8

    Team H Team M

    Income

    19K-25K

    Above 25K

  • 7/30/2019 Managerial Statistics Term Paper

    21/103

    14

    In Figure 4, Team H employees with tenure 2.5 years and above outweighs those with

    tenure below 2.5 years; however, distributions of below 2.5 years and 2.5 years and above are

    equivalent in Team M. Team H has lower number of employees who have worked below 2.5

    years in the company than Team M, and it has higher number of employees who have worked

    2.5 years and above in the company than Team M.

    Figure 4. Frequency Distribution by Tenure

    Figure 5 demonstrates a pie chart of the distribution of the three functions in the Cases-

    Generalist workflow. From the graph, copy preparers are significantly higher in count than the

    other two functions. Between the other two, opinion verifiers are greater in number than

    statute verifiers.

    0

    2

    4

    6

    8

    10

    12

    Team H Team M

    Tenure

    Below 2.5 years

    2.5 years and

    above

  • 7/30/2019 Managerial Statistics Term Paper

    22/103

    15

    Figure 5. Frequency Distribution by Function

    Figure 6 presents the distribution by wave. The team does not have a member from

    wave 4 as being absent in the pie chart. The largest wave is wave 3 while the least member in a

    wave is wave 1 having only one sample. Waves 2 and 5 are gently comparable in proportion.

    There is a wave identified as 8.5 because members from this wave were hired in between waves

    8 and 9. The name 8.5 is just an identifier.

    Function

    Statute Verifiers

    Opinion Verifiers

    Copy Preparers

    1

    2

    3

    5

    6

    7

    8.5

    Wave

    wave 1

    wave 2

    wave 3

    wave 4

    wave 5

    wave 6

    wave 7

  • 7/30/2019 Managerial Statistics Term Paper

    23/103

    16

    Figure 7 reveals that half of the Cases-Generalist team ranks PS 2. The number of PS 1

    team members is not very far from that of PS 2. PS 3 level, which requires more tenure and

    more experience, has a minute number of members.

    Figure 7. Frequency Distribution by PS Level

    Table 1 below shows the output computed by the mean number of cases, pages,

    production hours, and the average pages per hour as performed by Teams H and M. The

    researchers used excel function =AVERAGE(data_array) for computing the different means.

    Table 1. Team Performance by Output

    Team H Team M

    Mean number of cases 1,473.7857 1,777.5714

    Mean number of pages 13,316.5714 12,842.6429

    Mean production hours 379.3571 367.5536

    Average pages per hour 38.0291 35.3055

    There were a total of 101 errors encountered in 168 instances whereby a team member

    can commit any number of errors or not commit any error at all. In this study therefore, zero (0)

    is absolute, indicating that a team member did not commit any error during performance on a

    case. The main types of errors are Copy Preparing errors which are errors committed in the

    process of copy editing and preparing the case for publication, Opinion Verification errors which

    PS Level

    PS 1

    PS 2

    PS 3

  • 7/30/2019 Managerial Statistics Term Paper

    24/103

    17

    are errors committed in the process of verifying case laws cited in a case, and Statute

    Verification errors which are errors committed in the process of verifying and styling statutes

    and federal and state laws (as compared to case laws which result from promulgation of cases).

    The errors are further sub-categorized into stylistic, content, and major content errors. In

    tabular form, this is illustrated as follows:

    Figure 8. Error Types and Sub-Types

    Copy Preparing Statute Verification Opinion Verification

    Stylistic ContentMajor

    ContentStylistic Content

    MajorContent

    Stylistic ContentMajor

    Content

    Stylistic errors are errors with regards to writing style, for example in copy preparing, a

    stylistic error would be a wrong mnemonic or a heading not styled correctly. A content error isa minor error regarding content, for example paragraphs split or merged incorrectly. A major

    content error is a significant error with regards to content, for example missing text. Tables

    below show the numbers of errors and sub-type errors committed by team, gender, PS level,

    age and tenure.

    Table 2. Number of Errors Committed by Team

    Team Copy Prep Statute Ver OpinionVer

    Total

    H 20 12 8 40

    M 44 2 15 61

    Total 64 14 23 101

    Table 3. Number of Errors Committed by Gender

    Gender Copy Prep Statute Ver OpinionVer

    Total

    Female 49 3 13 65

    Male 15 11 10 36

    Total 64 14 23 101

    Table 4. Number of Errors Committed by PS Level

    PS Level Copy Prep Statute Ver OpinionVer

    Total

    1 15 3 19 37

    2 49 11 4 64

    Total 64 14 23 101

  • 7/30/2019 Managerial Statistics Term Paper

    25/103

    18

    Table 5. Number of Errors Committed by Age

    Error 24 and Below Above 24 Total

    Copy Prep 29 35 64

    Statute Ver 5 9 14

    Opinion Ver 19 4 23

    Total 53 48 101

    Table 6. Number of Errors Committed by Tenure

    Error Below 2.5 Yrs. 2.5 Yrs and Above Total

    Copy Prep 6 58 64

    Statute Ver 3 11 14

    OpinionVer

    16 7 23

    Total 25 76 101

    Table 7. Number of Sub-Type Errors Committed by Team

    Team Stylistic Content MajorContent

    Total

    H 26 13 1 40

    M 40 18 3 61

    Total 66 31 4 101

    Table 8. Number of Sub-Type Errors Committed by Gender

    Team Stylistic Content MajorContent

    Total

    Female 46 16 3 65

    Male 20 15 1 36

    Total 66 31 4 101

    Table 9. Number of Sub-Type Errors Committed by PS Level

    PS Level Stylistic Content MajorContent

    Total

    1 19 17 1 37

    2 47 14 3 64

    Total 66 31 4 101

  • 7/30/2019 Managerial Statistics Term Paper

    26/103

    19

    Table 10. Number of Sub-Type Errors Committed by Age

    Error 24 andBelow

    Above 24 Total

    Stylistics 33 33 66

    Content 19 12 31

    Major Content 1 3 4Total 53 48 101

    Table 11. Number of Sub-Type Errors Committed by Tenure

    Error Below 2.5 Yrs. 2.5 Yrs and Above Total

    Stylistics 11 55 66

    Content 14 17 31

    Major Content 0 4 4

    Total 25 76 101

    STATISTICAL ANALYSIS

    Analysis of Performance based on Output

    This analysis compared the number of errors between teams H and I, females and

    males, PS levels 1 and 2, members with ages 24 and >24 (median age is 23.5 years), and

    members with tenures of

  • 7/30/2019 Managerial Statistics Term Paper

    27/103

    20

    Ha: 1-2 0

    Decision Rule: Reject Ho if t>2.05 or t 2.05 or t 2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    28/103

    21

    Two-tailed Hypothesis Testing: Performance Comparison by Gender

    With regards to gender, results show that there is no significant difference

    between the total cases processed, total production hours and average pages per

    hour processed by males and females as follows:

    o Total Cases Processed

    Ho: 1-2 = 0(There is no significant difference in the total cases processed between

    males and females)

    Ha: 1-2 0

    Decision Rule: Reject Ho if t>2.05 or t 2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    29/103

    22

    Decision Rule: Reject Ho if t>2.05 or t 2.05 or t 2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    30/103

    23

    Interpretation: The mean production hours of members 24 years old and below

    and members above 24 years old has no significant difference.

    o Average Pages per Hour

    Ho : 1-2 = 0 (There is no significant difference in the average pages per hour

    between members 24 years old and below and members above 24 years old)

    Ha: 1-2 0

    Decision Rule: Reject Ho if t>2.05 or t 2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    31/103

    24

    o Total Production Hours

    Ho : 1-2 = 0 (There is no significant difference in the total production hours

    between members working for 2.5 years and below and members working above

    2.5 years)

    Ha: 1-2 0

    Decision Rule: Reject Ho if t>2.05 or t 2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    32/103

    25

    o Total Cases Processed

    Ho : 1-2 = 0 (There is no significant difference in the total cases processed

    between PS Level 1 and PS Level 2)

    Ha: 1-2 0

    Decision Rule: Reject Ho if t>2.06 or t 2.06 or t 2.06 or t

  • 7/30/2019 Managerial Statistics Term Paper

    33/103

    26

    significant difference.

    Analysis of Performance based on Errors

    This analysis compared the number of errors between teams H and M, females and

    males, PS levels 1 and 2, members with ages 24 and >24 (median age is 23.5 years), and

    members with tenures of 1.96 or z

  • 7/30/2019 Managerial Statistics Term Paper

    34/103

    27

    o Copy Preparing Errors

    Ho: 1-2 = 0 (There is no difference between the means of Copy Preparing errors of

    Team H and M)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if z>1.96 or z2.05 or t2.01 or t

  • 7/30/2019 Managerial Statistics Term Paper

    35/103

    28

    o Stylistic Errors

    Ho: 1-2 = 0 (There is no difference between the means of Stylistic errors of Team H

    and M)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.005 or t2.005 or t2.005 or t

  • 7/30/2019 Managerial Statistics Term Paper

    36/103

    29

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: There is no difference between the means of Major Content errors

    of Team H and M.

    Two-tailed Hypothesis Testing: Gender Performance Comparison based on Error and

    Sub-Type Errors by Gender

    With regards to gender, we found no differences in the means of all errors by females

    and males, and no differences in the means of copy preparing, statute verification, and

    opinion verification errors between females and males. We also did not find any

    differences in the means of stylistic, content, and major content errors between them.

    o

    All ErrorsHo: 1-2 = 0 (There is no difference between the means of errors of Females and

    Males)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if z>1.96 or z1.98 or t

  • 7/30/2019 Managerial Statistics Term Paper

    37/103

    30

    Interpretation: There is no difference between the means of Copy Preparing errors

    of females and males. However, the p-value of .63 signifies a high probability that

    there is a difference between the means of copy preparing errors of females and

    males.

    o Statute Verification Errors

    Ho: 1-2 = 0 (There is no difference between the means of Statute Verification

    errors of females and males)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.05 or t2.013 or t

  • 7/30/2019 Managerial Statistics Term Paper

    38/103

    31

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.005 or t2.005 or t2.005 or t

  • 7/30/2019 Managerial Statistics Term Paper

    39/103

    32

    Interpretation: There is no difference between the means of Major Content errors

    of females and males. However, the p-value of .75 points to a high probability that

    the means of major content errors of females and males may be different.

    Two-tailed Hypothesis Testing: Performance Comparison based on Error and Error

    Sub-Type by PS Level

    With regards to PS level, we found no differences in the means of all errors by PS 1 and

    2, and no differences in the means of copy preparing, statute verification, and opinion

    verification errors between PS 1 and 2. We also did not find any differences in the

    means of content and major content errors. However, we found a significant

    difference in the means of stylistic errors between the two.

    o All Errors

    Ho: 1-2 = 0 (There is no difference between the means of errors of PS 1 and 2)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if z>1.96 or z1.96 or z

  • 7/30/2019 Managerial Statistics Term Paper

    40/103

    33

    o Statute Verification Errors

    Ho: 1-2 = 0 (There is no difference between the means of Statute Verification

    errors of PS 1 and 2)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.07 or t2.01 or t2.006 or t

  • 7/30/2019 Managerial Statistics Term Paper

    41/103

    34

    Interpretation: There is a significant difference between the means of Stylistic

    errors of PS 1 and 2. PS 2 commits more error of average than PS 1.

    o Content Errors

    Ho: 1-2 = 0 (There is no difference between the means of Content errors of PS 1

    and 2)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.006 or t2.006 or t24, and no differences in the means of copy preparing, statute

  • 7/30/2019 Managerial Statistics Term Paper

    42/103

    35

    verification, and opinion verification errors. We also did not find any differences in the

    means of stylistic, content, and major content errors between them.

    o All Errors

    Ho: 1-2 = 0 (There is no difference between the means of errors of members with

    ages 24 and >24)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if z>1.96 or z24.

    o Copy Preparing Errors

    Ho: 1-2 = 0 (There is no difference between the means of Copy Preparing errors of

    members with ages 24 and >24)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if z>1.96 or z24.

    o Statute Verification Errors

    Ho: 1-2 = 0 (There is no difference between the means of Statute Verification

    errors of members with ages 24 and >24)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    43/103

    36

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: There is no difference between the means of Statute Verification

    errors of members with ages 24 and >24.

    o Opinion Verification Errors

    Ho: 1-2 = 0 (There is no difference between the means of Opinion Verification

    errors of members with ages 24 and >24)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.01 or t24. A p-value of .54 may mean that there is

    a difference in the opinion verification errors ofmembers with ages 24 and >24.

    o Stylistic Errors

    Ho: 1-2 = 0 (There is no difference between the means of Stylistic errors of

    members with ages 24 and >24)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.005 or t24.

    o Content Errors

    Ho: 1-2 = 0 (There is no difference between the means of Content errors of

    members with ages 24 and >24)

    Ha: 1-2 0

    = 0.05

  • 7/30/2019 Managerial Statistics Term Paper

    44/103

    37

    Decision Rule: Reject Ho if t>2.005 or t24. However, a p-value of .96 points out that it is very

    likely that there is a difference between the content errors of members with ages

    24 and >24.

    o Major Content Errors

    Ho: 1-2 = 0 (There is no difference between the means of Major Content errors of

    members with ages 24 and >24)

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if t>2.005 or t24.

    Two-tailed Hypothesis Testing: Performance Comparison based on Error and Sub-

    Type Errors by Gender

    With regards to tenure, we found no differences in the means of all errors by members

    with tenure of

  • 7/30/2019 Managerial Statistics Term Paper

    45/103

    38

    Ha: 1-2 0

    = 0.05

    Decision Rule: Reject Ho if z>1.96 or z

  • 7/30/2019 Managerial Statistics Term Paper

    46/103

    39

    Ho: 1-2 = 0 (There is no difference between the means of Opinion Verification

    errors of members with tenure of 2.05 or t

  • 7/30/2019 Managerial Statistics Term Paper

    47/103

    40

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: There is no difference between the means of Content errors of

    members with tenure of

  • 7/30/2019 Managerial Statistics Term Paper

    48/103

    41

    o Statute Verification

    Ho: 1 50 pages per hour(Members of this function does not meet the transition

    phase benchmark)

    Ha: 1 50 pages per hour

    Decision Rule: Reject Ho if t > 6.3137

    t Test Statistic: 6.8421 with a p-value of 0.046195261

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Members of Statute Verification are able to comply with the

    benchmark of 50 pages per hour.

    o Copy Preparing

    All Members of Copy Preparing Process were able to meet the required number of

    pages per hour.

    Ho: 1 17 pages per hour(Members of this function does not meet the transition

    phase benchmark)

    Ha: 1 17 pages per hour

    Decision Rule: Reject Ho if t > 1.833

    t Test Statistic: 7.608 with a p-value of 1.64992E-05

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Members of Copy Preparing are able to comply with the

    benchmark of 17 pages per hour.

    Ho: 1 14 pages per hour(Members of this function does not meet the transition

    phase benchmark)

    Ha: 1 14 pages per hour

    Decision Rule: Reject Ho if t > 2.1318

    t Test Statistic: 4.3442 with a p-value of 0.006154527

  • 7/30/2019 Managerial Statistics Term Paper

    49/103

    42

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Members of Copy Preparing are able to comply with the

    benchmark of 14 pages per hour.

    o Opinion Verification

    Not all members of Opinion Verification Process were able to meet the required

    number of pages per hour. New hires with a benchmark of 9 pages per hour, were

    not able to comply.

    Ho: 1 23 pages per hour(Members of this function does not meet the transition

    phase benchmark)

    Ha: 1 23 pages per hour

    Decision Rule: Reject Ho if t > 6.3138

    t Test Statistic: 10.2018 with a p-value of 0.031101994

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Members of Opinion Verification are able to comply with the

    benchmark of 23 pages per hour.

    Ho: 1 18 pages per hour(Members of this function does not meet the transition

    phase benchmark)

    Ha: 1 18 pages per hour

    Decision Rule: Reject Ho if t > 2.1318

    t Test Statistic: 6.5727 with a p-value of 0.001386506

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Members of Opinion Verification are able to comply with the

    benchmark of 18 pages per hour.

    Ho: 1 9 pages per hour(Members of this function does not meet the transition

    phase benchmark)

  • 7/30/2019 Managerial Statistics Term Paper

    50/103

    43

    Ha: 1 9 pages per hour

    Decision Rule: Reject Ho if t > 6.3138

    t Test Statistic: 2.4599 with a p-value of 0.123534919

    Conclusion: We dont have sufficient evidence to Reject Ho

    Interpretation: Members of Opinion Verification are not able to comply with the

    benchmark of 9 pages per hour.

    Analysis of Performance based on Independence between Error Types

    The Chi-square distribution test was utilized to determine the independence between

    types as well as subtypes of errors and team membership, gender, PS level, age, and tenure. We

    found out that type of error is related to team membership as follows:

    Ho: Type of error and team are independent.

    Ha: Type of error and team are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 14.53533309 with a p-value of 0.000697738

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Type of error and team membership are related.

    Comparing the observed and expected frequencies, it seems that Team H is prone to

    committing statute verification errors while Team M is prone to committing copy preparing and

    opinion verification errors. On the other hand, it was found out that there is no relation

    between error subtypes (stylistics, etc.) and team membership. However, the p-value (.80) is

    big enough to put the result into question, as follows.

    Ho: Error subtype and team are independent.

    Ha: Error subtype and team are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

  • 7/30/2019 Managerial Statistics Term Paper

    51/103

    44

    Chi-Square Test Statistic: 0.428329067with a p-value of 0.80721556

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: Error subtype and team membership are not related.

    It was also found out that type of error is related to gender. By comparing observed frequencies

    to expected frequencies, females tend to commit copy preparing errors while males tend to

    commit status verification and opinion verification errors.

    Ho: Type of error and gender are independent.

    Ha: Type of error and gender are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 16.01916677 with a p-value of 0.000332263

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Type of error and gender are related.

    Again, it was found out that error subtypes and gender are not related.

    Ho: Error subtypes and gender are independent.

    Ha: Error subtypes and gender are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 3.212824168 with a p-value of 0.200606082

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: Error subtypes and gender are related.

    With regards to PS level, we found out that type of error is related to a members PS level as

    follows:Ho: Type of error and PS level are independent.

    Ha: Type of error and PS level are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 27.13810142 with a p-value of 1.27949E-06

  • 7/30/2019 Managerial Statistics Term Paper

    52/103

    45

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Type of error and PS level are related.

    Also, error subtypes and PS level were found to be dependent or related.

    Ho: Error subtypes and PS level are independent.

    Ha: Error subtypes and PS level are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 6.409321769 with a p-value of 0.040572658

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Error subtypes and PS level are related.

    Comparing observed and expected frequencies, PS level 2 members tend to commit copy

    preparing errors while PS level 1 members tend to commit opinion verification errors. Further,

    PS level 2 members tend to commit stylistic errors while PS level 1 members tend to commit

    content errors.

    Type of error and age was also found to be related or dependent. Members who are 24 years

    old and below are prone to committing opinion verification errors while members who are more

    than 24 years old are prone to committing copy preparation and statute verification errors.

    Ho: Type of error and age are independent.

    Ha: Type of error and age are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 11.26805616 with a p-value of 0.003574149

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Type of error and age are related.

    On the other hand, error subtypes and age were found to be independent.

    Ho: Error subtypes and age are independent.

    Ha: Error subtypes and age are dependent or related.

  • 7/30/2019 Managerial Statistics Term Paper

    53/103

    46

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 2.338852328 with a p-value of 0.310545092

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: Error subtypes and age are not related.

    Type of error and tenure was also found to be related or dependent. Comparing observed and

    expected frequencies, members with tenure of below 2.5 years tend to commit opinion

    verification errors while members who are with the company for 2.5 years or more tend to

    commit copy preparing errors. The Chi-Square test result for error subtypes and tenure is not

    presented because expected frequency assumptions were not met.

    Ho: Type of error and tenure are independent.

    Ha: Type of error and tenure are dependent or related.

    = 0.05

    Decision Rule: Reject Ho if

    Chi-Square Test Statistic: 33.00653339 with a p-value of 6.80334E-08

    Conclusion: We have sufficient evidence to Reject Ho

    Interpretation: Type of error and tenure are related.

    Analysis of Performance based on Output of Multiple Sample Means

    A single-factor ANOVA Analysis was used to check if there is a significant difference in total cases

    processed and average pages per hour of waves 3, 5, 6, 7 and 8.5.

    Analysis of Variance: Performance by Wave

    There is no significant difference in the performance among the 6 waves classified.

    o Total Cases Processed

    Ho: 1= 2= 3= 4= 5= 6 (Mean number of cases processed by all waves are the

    same)

    Ha: At least one 1 differs from the others

  • 7/30/2019 Managerial Statistics Term Paper

    54/103

    47

    Decision Rule: Reject Ho if F 2.68

    F Test Statistic: 0.904793

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: The mean total cases processed of Waves 2, 3, 5, 6, 7 and 8.5 are

    the same.

    Average Pages per Hour

    Ho: 1= 2= 3= 4= 5= 6 (Mean pages per hour processed by all waves are the

    same)

    Ha: At least one 1 differs from the others

    Decision Rule: Reject Ho if F 2.68F Test Statistic: 0.734984

    Conclusion: We do not have sufficient evidence to Reject Ho

    Interpretation: The mean pages per hour processed of Waves 2, 3, 5, 6, 7 and 8.5

    are the same.

    Analysis of Factors Affecting the Performance based on Output and Error

    In analyzing how the performance of the two teams are influenced by different factors. Factors

    identified as Age, Gender, Income and Tenure were used.

    Regression Analysis: Average Pages per Hour

    Regression Statistics

    R Square 0.168122876

    P-valueIntercept 0.677799

    Gender: (0-F), (1-M) 0.486851

    Age 0.31748

    Income 0.138449

    Tenure (Years) 0.185843

  • 7/30/2019 Managerial Statistics Term Paper

    55/103

    48

    Interpretation:

    16.82% of the variation in the Average Pages per Hour processed is explained by the

    independent variables: Gender, Age, Income and Tenure. This indicates that these

    predictor variables explain very little variation in the response variable.

    Gender: p-value=0.486851 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Average pages per hour processed and

    the members Gender.

    Age: p-value=0.31748 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Average pages per hour processed and

    the members Age.

    Income: p-value=0.138449 is greater than =0.05, we fail to find significant statisticalevidence for a linear relationship between the Average pages per hour processed and

    the members Income.

    Tenure: p-value=0.185843 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Average pages per hour processed and

    the members Tenure.

    Regression Analysis: Total Number of Errors Committed

    Regression Statistics

    R Square 0.114443

    P-value

    Intercept 0.235803

    Gender: (0-F), (1-M) 0.29054

    Age 0.231104

    Income 0.14784

    Tenure (Years) 0.705145

    Interpretation:

    11.44% of the variation in the Total errors committed is explained by the independent

    variables: Gender, Age, Income and Tenure. This indicates that these predictor variables

    explain very little variation in the response variable.

  • 7/30/2019 Managerial Statistics Term Paper

    56/103

    49

    Gender: p-value=0.29054 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Total Errors Committed and the

    members Gender.

    Age: p-value=0.231104 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Total Errors Committed and the

    members Age.

    Income: p-value=0.14784 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Total Errors Committed and the

    members Income.

    Tenure: p-value=0.705145 is greater than =0.05, we fail to find significant statistical

    evidence for a linear relationship between the Total Errors Committed and the

    members Tenure.

    Conclusion

    The researchers found out that the performance of the two teams by Age, Gender, Tenure, PS

    Level, based on their outputs has no significant difference.

    Being mostly fresh graduates upon entry, team members are afraid to commit mistakes and aim

    to do good work to fit in the corporate world. Also, the company values highlight quality of work

    among its employees, thus affect the performance to be at the same caliber.

    Further, with the performance metrics comparison among teams and with the fresh working

    attitude of these members who are mostly young professionals, members tend to be in a

    competitive mode, thus they try to keep up with the performance of one another.

    There is no high variation among the age, income and tenure of the members. Thus,

    performance of the members based on output and errors are not affected much by these

    factors.

    The researchers merit these results to the delicateness of the product. Information is the

    product of the company. Legal departments products are cases used by professionals in courts,

    corporate counsels, governments, and schools. Upon arriving in the company, employees

    undergo one-week on-boarding that discusses the companys history, products, and the

  • 7/30/2019 Managerial Statistics Term Paper

    57/103

    50

    American legal system. After which, employees are distributed to their teams and go through a

    thorough training in their specific functions for two straight months. For the Cases-Generalist

    workflow, there are several reviews held per jurisdiction per employee until he or she passes

    the review period. If he or she fails to pass the quality control, he or she remains on-review for

    the specific jurisdiction he or she is assigned to. Ultimately, from the first week up to the walls

    of the company, the tag line We help the legal system perform better. Every day. Worldwide.

    and its values are continually instilled to the minds of the employees. Thus, there is no

    significant difference on the outputs and with their performance vis--vis their level of hierarchy

    in the company, income, tenure, or age. The team knows and understands the product of the

    company and what the company wants from him or her.

  • 7/30/2019 Managerial Statistics Term Paper

    58/103

    51

    RECOMMENDATIONS

    It is recommended that review should be conducted for Team H on statute verification and for

    Team M on opinion verification and copy preparing. It is also suggested that review on stylistics

    should be conducted for PS level 2 and for members with tenure of more than 2.5 years.

    Though stylistic errors may be characterized as human-natured errors because people tend to

    see past the details when working quickly, the team must devise a strategy or train the

    members to have better eye for details. Better yet, in the future, members may suggest to

    construct a button in their work tool that would help minimize stylistic errors. Moreover, more

    intensive training should be conducted for new hires on opinion verification as this seems to be

    a weakness that should be addressed.

    A higher sample size for the analysis could provide a variation among the age and income and

    could give a sound analysis of the working group. A higher sample for the audited cases may

    also be recommended to increase the true mean of errors.

  • 7/30/2019 Managerial Statistics Term Paper

    59/103

    52

    APPENDICES

    Audit Criteria

    Stylistic Content Major Content

    Missing Punctuation Cite has wrong serial no. Wrong judge/justice

    Judges names not capped Missing case itself references Appendix missed

    Wrong mnemonic used Missing lower court info. in syn. Dissent or Concur. Opinions

    missing

    Titles not marked as italic Missing prior reports Wrong statute used in headnotes

    N.J.-book titles arent italic Missing attorneys Wrong court in synopsis

    CT.- forgot to add at in

    partial cites

    Forgot to markup cites in syn. &

    headnotes

    Missing Text

    DEL.- forgot to add both AP1

    lines

    Wrong title used for

    Judge/Justice

    Released a case when it should

    have been heldSpacing errors Forgot to add cities to attorneys Missing a title

    Cite markup in wrong place Paragraphs split or merged

    incorrectly

    Wrong volume or page

    information in citations

    Forgot to add Full names to

    Judges/Justices that are on

    our list

    Missing fileline information Wrong Courtline

    Statutes not in correct order

    in headnotes

    Statute should have had a year

    in parenthesis

    Missing Star-paging

    Incorrect tagging Partial cite, missed markup

    Headings not styled correctly

    (Bold, Italic, etc.)

    Popular name incorrect or

    incomplete

    Forgot to add Assigned,

    etc. to synopsis

    Statute style incorrect

    Statute Template style invalid

    Spell check errors/not corrected

    Incorrect parallel added or not

    deleted (ex. Ala & WestlawOnly

    cites)

    Ratings:

    A rating of 1 to 5 is given with 5 being the highest.

    0 Errors = 5

    1-2 Stylistic Errors = 4

    3 Stylistic and/or 1 Content Error = 3

    >3 Stylistic and/or 2 Content Errors = 2

    >2 Content and/or 1 Major Content Errors = 1

    >1 Major Content Error = 0

    Difficulty of Case = High, Medium or Low

  • 7/30/2019 Managerial Statistics Term Paper

    60/103

    53

    PH-Stat Results

    Two-tailed Hypothesis Testing Results

    Performance Comparison by Team (Total Cases)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 14

    Sample Mean 1473.786

    Sample Standard Deviation 1006.569

    Population 2 Sample

    Sample Size 14

    Sample Mean 1777.571

    Sample Standard Deviation 1566.729

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 13

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 26

    Pooled Variance 1733910

    Difference in Sample Means -303.785

    tTest Statistic -0.61038

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.546907

    Do not reject the null hypothesis

    Performance Comparison by Team (Total Number of Pages)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 14

    Sample Mean 13316.57Sample Standard Deviation 9570.975

    Population 2 Sample

    Sample Size 14

    Sample Mean 12842.64

    Sample Standard Deviation 10351.36

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 13

  • 7/30/2019 Managerial Statistics Term Paper

    61/103

    54

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 26

    Pooled Variance 99377108

    Difference in Sample Means 473.928

    tTest Statistic 0.125782

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.900872

    Do not reject the null hypothesis

    Performance Comparison by Team(Total Production Hours)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 SampleSample Size 14

    Sample Mean 379.357

    Sample Standard Deviation 149.122

    Population 2 Sample

    Sample Size 14

    Sample Mean 367.553

    Sample Standard Deviation 105.77

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 13

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 26

    Pooled Variance 16712.33

    Difference in Sample Means 11.804

    tTest Statistic 0.241579

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.811001

    Do not reject the null hypothesis

    Performance Comparison by Team(Average Pages/Hour)(assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 14

    Sample Mean 38.029

    Sample Standard Deviation 30.682

  • 7/30/2019 Managerial Statistics Term Paper

    62/103

    55

    Population 2 Sample

    Sample Size 14

    Sample Mean 35.305

    Sample Standard Deviation 30.943

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 13

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 26

    Pooled Variance 949.4272

    Difference in Sample Means 2.724

    tTest Statistic 0.233897

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.816897

    Do not reject the null hypothesis

    Performance Comparison by Gender(Total Cases)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 19

    Sample Mean 1472.052

    Sample Standard Deviation 1145.244

    Population 2 Sample

    Sample Size 9

    Sample Mean 1950

    Sample Standard Deviation 1609.508

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 18

    Population 2 Sample Degrees of Freedom 8

    Total Degrees of Freedom 26

    Pooled Variance 1705101

    Difference in Sample Means -477.948tTest Statistic -0.90453

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.374018

    Do not reject the null hypothesis

  • 7/30/2019 Managerial Statistics Term Paper

    63/103

    56

    Performance Comparison by Gender(Total Number of Pages)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 19

    Sample Mean 11093.95

    Sample Standard Deviation 6759.974

    Population 2 Sample

    Sample Size 9

    Sample Mean 17271.56

    Sample Standard Deviation 13828.24

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 18

    Population 2 Sample Degrees of Freedom 8Total Degrees of Freedom 26

    Pooled Variance 90473505

    Difference in Sample Means -6177.61

    tTest Statistic -1.60501

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.12057

    Do not reject the null hypothesis

    Performance Comparison by Gender(Total Production Hours)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 19

    Sample Mean 378.105

    Sample Standard Deviation 140.303

    Population 2 Sample

    Sample Size 9

    Sample Mean 363.639Sample Standard Deviation 99.93

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 18

    Population 2 Sample Degrees of Freedom 8

    Total Degrees of Freedom 26

    Pooled Variance 16700.65

    Difference in Sample Means 14.466

  • 7/30/2019 Managerial Statistics Term Paper

    64/103

    57

    tTest Statistic 0.276631

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.784251

    Do not reject the null hypothesis

    Performance Comparison by Gender(Average Pages/Hour)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 19

    Sample Mean 29.341

    Sample Standard Deviation 24.714

    Population 2 SampleSample Size 9

    Sample Mean 47.496

    Sample Standard Deviation 39.026

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 18

    Population 2 Sample Degrees of Freedom 8

    Total Degrees of Freedom 26

    Pooled Variance 891.4731

    Difference in Sample Means -18.155

    tTest Statistic -1.50266

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.144976

    Do not reject the null hypothesis

    Performance Comparison by Age (Total Cases)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0Level of Significance 0.05

    Population 1 Sample

    Sample Size 17

    Sample Mean 1586.941

    Sample Standard Deviation 1301.376

    Population 2 Sample

    Sample Size 11

    Sample Mean 1685.545

  • 7/30/2019 Managerial Statistics Term Paper

    65/103

    58

    Sample Standard Deviation 1362.553

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 16

    Population 2 Sample Degrees of Freedom 10

    Total Degrees of Freedom 26

    Pooled Variance 1756261

    Difference in Sample Means -98.604

    tTest Statistic -0.19228

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.849014

    Do not reject the null hypothesis

    Performance Comparison by Age(Total Number of Pages)

    (assumes equal population variances)Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 17

    Sample Mean 12285.12

    Sample Standard Deviation 8853.542

    Population 2 Sample

    Sample Size 11

    Sample Mean 14307.46

    Sample Standard Deviation 11418.84

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 16

    Population 2 Sample Degrees of Freedom 10

    Total Degrees of Freedom 26

    Pooled Variance 98387014

    Difference in Sample Means -2022.34

    tTest Statistic -0.5269

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529p-Value 0.602732

    Do not reject the null hypothesis

    Performance Comparison by Age(Total Production Hours)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

  • 7/30/2019 Managerial Statistics Term Paper

    66/103

    59

    Population 1 Sample

    Sample Size 17

    Sample Mean 355.794

    Sample Standard Deviation 121.029

    Population 2 Sample

    Sample Size 11

    Sample Mean 400.75

    Sample Standard Deviation 136.978

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 16

    Population 2 Sample Degrees of Freedom 10

    Total Degrees of Freedom 26

    Pooled Variance 16230.69

    Difference in Sample Means -44.956

    tTest Statistic -0.91193

    Two-Tail TestLower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.370185

    Do not reject the null hypothesis

    Performance Comparison by Age(Average Pages/Hour)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 17

    Sample Mean 34.529

    Sample Standard Deviation 34.559

    Population 2 Sample

    Sample Size 11

    Sample Mean 35.702

    Sample Standard Deviation 18.248

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 16

    Population 2 Sample Degrees of Freedom 10

    Total Degrees of Freedom 26Pooled Variance 863.0418

    Difference in Sample Means -1.173

    tTest Statistic -0.10319

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

  • 7/30/2019 Managerial Statistics Term Paper

    67/103

    60

    p-Value 0.918607

    Do not reject the null hypothesis

    Performance Comparison by Tenure(Total Cases)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 9

    Sample Mean 1803.556

    Sample Standard Deviation 1078.581

    Population 2 Sample

    Sample Size 19

    Sample Mean 1541.421

    Sample Standard Deviation 1414.241

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 8

    Population 2 Sample Degrees of Freedom 18

    Total Degrees of Freedom 26

    Pooled Variance 1742619

    Difference in Sample Means 262.135

    tTest Statistic 0.49073

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.627734

    Do not reject the null hypothesis

    Performance Comparison by Tenure(Total Number of Pages)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 9

    Sample Mean 13344.11

    Sample Standard Deviation 8170.03Population 2 Sample

    Sample Size 19

    Sample Mean 12954.32

    Sample Standard Deviation 10673.06

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 8

    Population 2 Sample Degrees of Freedom 18

  • 7/30/2019 Managerial Statistics Term Paper

    68/103

    61

    Total Degrees of Freedom 26

    Pooled Variance 99401884

    Difference in Sample Means 389.795

    tTest Statistic 0.096618

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.923771

    Do not reject the null hypothesis

    Performance Comparison by Tenure(Total Production Hours)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 9Sample Mean 405

    Sample Standard Deviation 98.474

    Population 2 Sample

    Sample Size 19

    Sample Mean 358.513

    Sample Standard Deviation 138.387

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 8

    Population 2 Sample Degrees of Freedom 18

    Total Degrees of Freedom 26

    Pooled Variance 16242.09

    Difference in Sample Means 46.487

    tTest Statistic 0.901425

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.375637

    Do not reject the null hypothesis

    Performance Comparison by Tenure(Average Pages/Hour)

    (assumes equal population variances)Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 9

    Sample Mean 32.948

    Sample Standard Deviation 27.649

    Population 2 Sample

  • 7/30/2019 Managerial Statistics Term Paper

    69/103

    62

    Sample Size 19

    Sample Mean 36.133

    Sample Standard Deviation 32.122

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 8

    Population 2 Sample Degrees of Freedom 18

    Total Degrees of Freedom 26

    Pooled Variance 949.5596

    Difference in Sample Means -3.185

    tTest Statistic -0.25543

    Two-Tail Test

    Lower Critical Value -2.05553

    Upper Critical Value 2.055529

    p-Value 0.800403

    Do not reject the null hypothesis

    Performance Comparison by PS Level(Total Number of Cases)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 12

    Sample Mean 1681.75

    Sample Standard Deviation 973.582

    Population 2 Sample

    Sample Size 14

    Sample Mean 1358.143

    Sample Standard Deviation 1363.856

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 11

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 24

    Pooled Variance 1441993

    Difference in Sample Means 323.607

    tTest Statistic 0.685022

    Two-Tail Test

    Lower Critical Value -2.0639

    Upper Critical Value 2.063899

    p-Value 0.499893

    Do not reject the null hypothesis

    Performance Comparison by PS Level(Total Number of Pages)

    (assumes equal population variances)

  • 7/30/2019 Managerial Statistics Term Paper

    70/103

    63

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 12

    Sample Mean 13083.5

    Sample Standard Deviation 7309.261

    Population 2 Sample

    Sample Size 14

    Sample Mean 11386.5

    Sample Standard Deviation 10229.96

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 11

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 24

    Pooled Variance 81173105

    Difference in Sample Means 1697tTest Statistic 0.478789

    Two-Tail Test

    Lower Critical Value -2.0639

    Upper Critical Value 2.063899

    p-Value 0.636422

    Do not reject the null hypothesis

    Performance Comparison by Position(Total Production Hours)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 12

    Sample Mean 427.645

    Sample Standard Deviation 122.063

    Population 2 Sample

    Sample Size 14

    Sample Mean 309.286

    Sample Standard Deviation 106.652

    Intermediate CalculationsPopulation 1 Sample Degrees of Freedom 11

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 24

    Pooled Variance 12990.15

    Difference in Sample Means 118.359

    tTest Statistic 2.639746

  • 7/30/2019 Managerial Statistics Term Paper

    71/103

    64

    Two-Tail Test

    Lower Critical Value -2.0639

    Upper Critical Value 2.063899

    p-Value 0.014351

    Reject the null hypothesis

    Performance Comparison by PS Level (Average Pages/Hour)

    (assumes equal population variances)

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 12

    Sample Mean 30.594

    Sample Standard Deviation 24.155

    Population 2 Sample

    Sample Size 14

    Sample Mean 36.815Sample Standard Deviation 35.447

    Intermediate Calculations

    Population 1 Sample Degrees of Freedom 11

    Population 2 Sample Degrees of Freedom 13

    Total Degrees of Freedom 24

    Pooled Variance 948.0197

    Difference in Sample Means -6.221

    tTest Statistic -0.51359

    Two-Tail Test

    Lower Critical Value -2.0639

    Upper Critical Value 2.063899

    p-Value 0.612232

    Do not reject the null hypothesis

    Comparison of All Errors of Team H and M

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 SampleSample Size 84

    Sample Mean 0.457143

    Population Standard Deviation 0.943102

    Population 2 Sample

    Sample Size 84

    Sample Mean 0.943102

    Population Standard Deviation 1.110549

  • 7/30/2019 Managerial Statistics Term Paper

    72/103

    65

    Intermediate Calculations

    Difference in Sample Means -0.48596Standard Error of the Difference inMeans 0.158968

    Z-Test Statistic -3.05695

    Two-Tail TestLower Critical Value -1.95996

    Upper Critical Value 1.959964

    p-Value 0.002236

    Reject the null hypothesis

    CP Errors by Team

    Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 42

    Sample Mean 0.428571

    Population Standard Deviation 1.069045

    Population 2 Sample

    Sample Size 48

    Sample Mean 0.6875

    Population Standard Deviation 1.255632

    Intermediate Calculations

    Difference in Sample Means -0.25893

    Standard Error of the Difference inMeans 0.245065

    Z-Test Statistic -1.05657

    Two-Tail Test

    Lower Critical Value -1.95996

    Upper Critical Value 1.959964

    p-Value 0.290707

    Do not reject the null hypothesis

    Opinion Ver Errors by Team

    (assumes equal population variances)Data

    Hypothesized Difference 0

    Level of Significance 0.05

    Population 1 Sample

    Sample Size 24

    Sample Mean 0.333333

    Sample Standard Deviation 0.701964

  • 7/30/2019 Managerial Statistics Term Paper

    73/103

    66

    Population 2 Sample

    Sample