Lahore School of EconomicsMBA-IStatistics IWinter 2013

Name:_____________________Section:_______________

Date:______________________Score:________________

Assignment No. 1 (Chapter No.1)

Q.1: For each of the following, determine whether the group is a sample or a population.Answers(a) The participants in a study of a new cholesterol drug.

(b) The drivers who received a speeding ticket on M2 motorway on last Sunday.

(c) The 100 stocks reported as a part of the Karachi stock exchange index.

Q.2: Indicate whether each of the following measures use a nominal, ordinal, interval or ratio scale:

(a) Prices on the stock market.

(b) Marital status classified as married or never married.

(c) Whether or not a respondent has ever been married.

(d) Professional ranks: lecturer, assistant professor, associate professor, or professor.

(e) Political party affiliation (Muslim League, PPPP, MMA, other)

(f) Highest degree obtained (none, high school, bachelors, masters, doctorate)

(g) Patient condition (good, fair, serious, critical)

(h) Patient survival (in number of months)

(g) Distance students travel to class

(h) Student scores on the first statistics test.

(i) A classification of students by city of birth.

(j) A ranking of students by freshman, sophomore, junior, senior.

(k) Number of hours students study per week.

Q.3: Give an example of a quantitative variable that is actually continuous but might be considered discrete.

Q.3: Give an example of a quantitative variable that is actually discrete but might be considered continuous.

Q.5: The way a characteristic is measured determines what level of measurement to be used. Give an example of a variable for which different levels may be used.

Q. 6: Suppose the following information is obtained from Mr. Danish on his application for home mortgage loan at Alfalah Bank:Type of VariableLevel of Measurement

(a) Place of Residence: Wapda Town, Lahore

(b) (b) Type of Residence: Single-family house

(c) Date of Birth: March 14, 1985

(d) Monthly Income: Rs. 60,000

(e) Occupation: Chemical Engineer

(f) Employer: ICI Pakistan

(g) Number of years at Job: 4

(h) Number of jobs in Past Ten Years: 1

(i) Annual Family Salary Income: Rs. 750,000

(j) Other Income: Rs. 50,000

(k) Marital Status: Married

(l) Number of Children: 2

(m) Mortgage Requested: Rs. 2.2 million

(n) Term of Mortgage: 30 Years

(o) Other Loans: Car

(p) Amount of other loans: Rs. 0.5 million

Classify each of the responses by type of variable and the level of measurement.

Lahore School of EconomicsMBA-IStatistics IWinter 2013

Name:_____________________Section:_______________

Date:______________________Score:________________

Assignment No. 2 (Chapter No.2)

Q.1: Speedy Swift, SS, is a package delivery service in Lahore metropolitan area. To maintain customer loyalty, one of SSs performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on time (package delivered within 5 minutes of the promised time), late (package delivered more than 5 minutes past the promised time), lost (package never delivered). SSs objective is to deliver 99 percent of all packages either early or on-time. Another objective is to never lose a package. SS collected the following data for last months performance:

OTOTELOTOTOTOTLOT

EOTOTEOTOTOTOTOTOT

EOTEOTOTOTEOTOTOT

EOTOTLEEOTOTOTE

OTLLOTOTOTOTOTOTOT

OTLEOTEOTLostOTOTOT

EOTOTOTOTELostOTOTOT

OTEEOTLOTEOTLOT

OTOTOTOTELOTEOTOT

OTOTOTOTOTEEOTOTOT

E: Early OT: On-timeL: LateLost: Lost

a. What scale is used to measure delivery performance? What kind of variable is delivery performance?

b. Construct a frequency table for delivery performance for last month.

c. Construct a relative frequency table for delivery performance for last month.

d. Construct a bar chart of the frequency table for delivery performance for last month.

e. Construct a pie chart of on-time delivery performance for last month.

f. Analyze the data summaries and write an evaluation of the last months delivery performance as it related to SSs performance objectives. Write a general recommendation for further analysis.

Q.2:Alexandra Damonte will be building a new resort in Myrtle Beach, South Carolina. She must decide how to design the resort based on the type of activities that the resort will offer to its customers. A recent poll of 300 potential customers showed the following results about customers preferences for planned resort activities:

Like planned activities63

Do not like planned activities135

Not sure78

No answer24

a. What is the table called?

b. Draw a bar chart to portray the survey results.

c. Draw a pie chart for the survey results.

d. If you are preparing to present the results to Ms. Damonte as part of a report, which graph would you prefer to show? Why?

LahoreSchool of EconomicsMBA-IStatistics IWinter 2013

Name:______________________Section:_______________

Date:______________________Score:________________

Assignment No. 3 (Chapter No.2)

Q.1:The Quick Change Oil Company has a number of outlets in Lahore. The numbers of oil changes at Wapda Town outlet in past 20 days are:

65985562795951907256

70626680947963737185

The data are to be organized into a frequency distribution.a. How many classes would you recommend?

b. What class interval would you suggest?

c. What lower limit would you recommend for the first class?

d. Organize the number of oil changes into a frequency distribution.

e. Comment on the shape of the frequency distribution. Also determine the relative frequency distribution.

Q.2: The following data give the weekly amounts spent (in rupees) on groceries for a sample of households.

21703630159076022703370295031902500

279020502790266019901770162023203030

1920181032103090246027805004103350

116010001510240047402970170018803200

429029405700342027902350434012303250

a. How many classes would you recommend?

b. What class interval would you suggest?

c. What lower limit would you recommend for the first class?

d. Organize the data into a frequency distribution. Comment.

LahoreSchool of EconomicsMBA-IStatistics IWinter 2013

Name:______________________Section:_______________

Date:______________________Score:________________Assignment No. 4 (Chapter No.2)

Q.1:A wholesale appliance distributing firm wished to study its accounts receivable for two successive months. Two independent samples of 50 accounts were selected for each of the two months. The results are summarized in the following table:Frequency distribution for accounts receivable.

AmountsMarchFrequencyAprilFrequencyMarchCumulative FrequencyAprilCumulativeFrequency

Rs.0 under Rs.20,000610

Rs.20,000 under Rs.40,0001314

Rs.40,000 under Rs.60,0001713

Rs.60,000 under Rs.80,0001010

Rs.80,000 under Rs.100,00040

Rs.100,000 under Rs.120,00003

a. Plot the histogram for each month.

b. On one graph, plot the percentage polygon for each month.

c. .On one graph, plot the cumulative percentage polygon (also called Ogive) for each month.

a. What conclusion can you draw?

Q.2:Ecommerce.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days.

Lead Time (days)Frequency

5 up to 106

10 up to 157

15 up to 2012

20 up to 258

25 up to 307

Total40

a. How many orders were studied?b. What is the midpoint of the first class?c. Draw a histogram.d. Draw a frequency polygon.e. Interpret the lead times using two charts.

Q.3:Ecommerce.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days.

Lead Time (days)Frequency

5 up to 106

10 up to 157

15 up to 2012

20 up to 258

25 up to 307

Total40

a. How many orders were filled in less than 13 days? In less than 25 days?b. Convert the frequency distribution to a cumulative frequency distribution.c. Develop a cumulative frequency polygon.d. About 60 % of the orders were filled in less than how many days?