College of Computer Science andInformation System (CCSIS)

C O U R S E O U T L I N E

Course Code: STA-404-U&X Instructor Name: Sheikh Muhammad Ali

Course Title: Statistical Inference Meeting Hours: Sunday: 1:00 – 2:00

Prerequisite: Statistics &Mathematics (STA403) Semester: Fall- 2013

Class Hours: 04:15 pm – 07:15 pm Email: s.m.ali@iobm.edu.pk

Course Objective: A systematic exposure on the issues and problems of applying and Interpreting statistical analysis of business situations, The course will focus on statistical methods used for taking effective business decision.

Text Book(s): INTRODUCTORY STATISTICS by NEIL a. WEISS (Fourth Edition)siness Statistics by Examples by Terry Sincich(Fifth Edition)

Grading Policy: Expected Date / Week Weightage

First Midterm 6th week 15%

Second Midterm 11th week 15%

Final: 16th week 40%

Assignment + Journal Assignments ( minimum 2) 10%

Quizzes Quizzes ( minimum 3) 10%

Project After 2nd Hourly 10%

Attendance: Institutes policy -

Total: 100%

Week Description of Topics

1The Standard Normal Curve Normal Curves Normally Distributed Populations Normally Distributed Random Variables

2 Normal Probability Plots The Normal Approximation to the Binomial DistributionSampling Theory

3Sampling Error: the Need for Sampling Distribution The Mean and Standard Deviation of x The Sampling Distribution of the Mean

4 Estimating a Population Mean Large-Sample Confidence Intervals for One Population Mean

Sample-Size Consideration Confidence Intervals for One Normal Population Mean

5 Confidence Interval for difference of two population means

6 First Hourly

7 The Nature of Hypothesis Testing Terms, Errors, and hypotheses Large-Sample Hypotheses Test for One Population Mean Hypotheses Test for One Population Mean

8 Large-Sample Inferences for Two Population Mean Using Independent Samples Inferences for the Means of Two Normal Population Using Independent Samples

9 Inferences for the Means of Two Normal Population Using Independent Samples Inferences for two Population Mean Using Paired Samples Inferences for the proportion of one population and two Population

10 The Chi-Square Distribution Chi-Square Goodness-of-Fit Test Chi-Square Independence Test

11Second Hourly

12 Inferences for the slope of the Population Regression Line Inferences in Correlation

13 Multiple regression and Model building, Analysis of Variance (ANOVA)

14 One Way ANOVA

15 Final Exam

ADDITIONAL INFORMATION

1. Attendance will be taken during the first five minutes, late comers will not be allowed in the class. 2. More than two consecutive absences should be supported by a written explanation with suitable proof. 3. Quizzes, mid terms and final exam. must not be missed.4. No make up quiz, mid term or final examination will be given for any reason.5. Students are expected to be attentive, participative and interactive in the class..6. Instructor has the right to take any suitable action against a student for not maintaining discipline and congenial

learning environment in the class.

College of Computer Science and Information System (CCSIS)

Course Code: STA 404, Instructor Name: Sheikh Muhammad Ali

Course Title: Statistical Inference Email: s.m.ali@iobm.edu.pk

Prerequisite: STA-403-Statistics and Mathematics Semester: Fall-2012

S.No Course to be taught

1. Sampling: Introduction, Advantages of sampling, Sampling without replacement,2. Sampling with replacement, Sampling distribution, Sampling Distribution of difference

between means3. Advance Problem4. Estimation: Introduction, Estimates and Estimators, PointEstimation, Estimation by

Confidence Interval, C.I Estimate of apopulation Mean, Normal Population with population standard deviationknown, Normal Population withpopulation standard deviation unknown.

5. Non normal population with known or unknown population standarddeviation, Interpretation of a C.I, C.I for difference of meansNormal population with known standard deviation,

6. Advance Problems 7. Normal Population with unknown s.d., Non normal populations. Samplesize for

estimating population mean8. Hypothesis testing, Null and Alternative Hypothesis, Simple andcomposite hypothesis,

Acceptance and Rejection Regions, Type- I error,Type-II error, The significance level, Test of significance, One andTwo tailed tests

9. Test based on normal distribution, Testing Hypothesis about Mean ofa Normal Population when Population Variance is known. TestingHypothesis about mean of a normal population when Population varianceis known and n > 30

10. Testing Hypothesis about Mean of a non normal population whensample size is large. + Revision + Practical-3

11. 1st Mid-Term12. Testing Hypotheses about difference between two population meansWith Known s.d,

with unknown s.d..Both the populations are non normalin which case both sample sizes are necessarily large

13. The Chi Square Distribution: Introduction, Properties of the chisquare distribution14. C.I estimate of variance of a normal population. C.I Estimate ofpopulation variance from

a sample variance. C.I of population variancefrom several sample variances15. Test based on Chi Square distribution. Testing Hypothesis aboutVariance of a Normal

population, Pearson’s Chi square test forGoodness of Fit.16. Testing Hypothesis of independence in contingency tables.17. Student’s t-Distribution: Properties of t-distribution.Distribution of Difference of Sample

Means: Small Samples. C.IEstimate of mean from small sample. Testing Hypothesis about Mean of aNormal Population when Population variance is unknown and n<30.

18. Testing Hypothesis about difference of means of Two normalpopulations when Population Variance 1 = Population Variance 2

19. Testing Hypothesis about difference of mean of two NormalPopulation when σ1≠σ2 and unknown

20. Revision

21. 2nd Mid-Term22. Testing Hypothesis about two means with paired observations.23. The F-Distribution: Introduction, Properties. C.I for the variance Ratio,24. Testing hypothesis about the equality of two variances25. The Analysis of Variance: Introduction One way classification26. ANOVA (Two way classification)27. Overall Review28. Overall Review29. Final Examination30. Final Examination