University Of Bridgeport

School Of Business

Spring 2005

CAIS 102  Applied Statistics

Learning by Practice

Instructor:          Professor Kueun Choi

Office:           Mandeville Hall, Room 313

Phone:           (203)576-4366

E-mail:           choi@bridgeport.edu

1.  Course Description

Building on the foundation of CAIS 101, this course introduces the students to a wide range of applied statistical applications. Main topics include Sampling, Confidence Interval Estimation, Hypothesis Testing, Statistical Process Control, Analysis of Variance, Simple and Multiple Regression and Correlation Analysis, and Time Series Analysis and Forecasting. The students are required to make extensive applications of Microsoft Excel for data analyses and graphic presentations.

2. Course Objectives

Through a sequence of two semester courses, i.e. CAIS 101 and CAIS 102, the students will be prepared to assume responsibilities in collecting, organizing, and analyzing business data in support of business decision making activities in both private and public sectors.

The statistical techniques to be covered in these two courses are applicable to many decision making problems in the functional areas of accounting, finance, marketing, management, and many other business applications.

Upon completion of this second course, the students will be prepared to:

a.   Conduct market and opinion sample surveys;

b.  Develop confidence interval estimations for population parameters;

c.  Test hypotheses on population parameters;

d.  Develop forecasts based on time series  and regression analyses;

e.  Use Microsoft Excel in support of all the tasks cited above;

3.   Text Book

Lind, Marchal and Wathen,  Basic Statistics for Business and Economics, Twelfth Edition,McGraw-Hill, 2000. ISBN 0-07-286824-4 (Student Edition).

4. Class Policy for the Best Possible Learning Experience

You are encouraged to select and solve any problems and case studies from each chapter listed below that interest you, and present to the class. You are to leave your written papers with me for credits. You are invited to contact me by e-mail in case you need my input or you may consult the prepared solutions that I plan to distribute in class time to time.

Combining the text book and Excel applications, you are likely to find learning to use statistical tools easy and interesting.

5.      Grading Policy and Recognition for Achievement

     Mid-Term Exam                       100 points

      Final Exam                   200 points

      Case Studies / Term Projects       50 points

      Quizzes                                50 points

     Total                            400 points 

You may request for your final grade by e-mail during the final examination week. I will then respond by “Reply e-mail.” This procedure has proven to be most reliable.

All required papers and projects must be submitted one week before the final examination date.

6.   Chapters to be covered

Chapter                               Title                                               Page

8      Sampling Methods and the Central Limit Theorem        250

                   Sampling Methods                                                  251

                   Simple Random Sampling                                       252

                   Systematic Random Sampling                                253

                   Stratified Random Sampling                                   254

                   Cluster Sampling                                                   255

                   Sampling Error                                                      258

                   Sampling Distribution of the Sample Means          259

                   The Central Limit Theorem                                   263

              Using the Sampling Distribution of the Sample Mean   270

   

9        Estimation and Confidence Intervals                          282

                   Point Estimates and Confidence Intervals            283

                   A Confidence Interval for a Proportion                  297

                   Finite-Population Correction Factor                       300

                   Choosing an Appropriate Sample Size                  301

10             One-Sample Tests of Hypothesis                         316

                   What is a Hypothesis?                                          317

                   What is Hypothesis Testing?                                 318

                   Five-Step Procedure for Testing a Hypothesis          

                   One-Tailed and Two-Tailed Tests of Significance   323

                   Testing for a Population Mean with a Known                       

Population Standard Deviation Known 324

                   p-Value in Hypothesis Testing                               328

                   Testing for a Population Mean: Large sample.

Population Standard Deviation Unknown 329

                   Tests Concerning Proportions                               331

                   Testing for a Population Mean: Small Sample,

 Population Standard Deviation Unknown                335

                   Type II Error                                                          344

Mid-Term Exam

11            Two-Sample Tests of Hypothesis                          355

                  Two-Sample Tests of Hypothesis:

                  Independent Samples                                            356

                  Two-Sample Tests about Proportions                     362

                  Comparing Population Means with Small Samples  366

                  Two-Sample Tests of Hypothesis: Dependent Sample  370

                  Comparing Dependent and Independent Samples 374

12           Analysis of Variance                                               386

                  The F Distribution                                                 387

                  Comparing Two Population Variances                  388

                  ANOVA  Assumptions                                           392

                  The ANOVA Test                                                  394

                  Inferences about Pairs of Treatment Means       402

13           Linear Regression and Correlation                      428

                   What is Correlation Analysis?                            429

                   The Coefficient of Correlation                            431

                   The Coefficient of Determination                       435

                   Testing the Significance of the Correlation Coefficient  438

                   Regression Analysis                                          440

                   Least Square Principle                                      441

                   The Standard Error of Estimate                        446

                   Assumptions Underlying Linear Regression      449

                   Confidence Intervals and Prediction Intervals  451

                  More on the Coefficient of Determination          454

                  The Relationship among the Coefficient of Correlation, the

                   Coefficient of Determination, and the Standard Error of

                   Estimate                                                           457

14            Multiple Regression and Correlation Analysis  474

                   Multiple Regression Analysis                             475

                   Inferences in Multiple Linear Regression           476

                   Multiple Standard Error of Estimate                   481

                   Assumptions about Multiple Regression and Correlation  482

                   The ANOVA Table                                               483

                   Evaluating the Regression Equation                  485

                   Analysis of Residuals                                          495

15       Nonparametric Methods :Chi-square applications  522

                   Goodness-of-Fit Test: Equal Expected Frequencies  523

                   Goodness-of-Fit Test: Unequal Expected Frequencies  529

                   Limitations of Chi-square                                      531

                   Contingency Table Analysis                                   534

The Final Exam

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