power point presentation          solutions to problems

                              BA 578
                                            Statistical Methods

                                   Course Syllabus  (Fall - Spring)

Professor:

Dr. Ed Manton

E-Mail:

Edgar_Manton@tamu-commerce.edu

  

OFFICE

           

 BA317

 

  

           OFFICE HOURS

         TR 9:00 am - 9:30 am;

          T 5:45 pm - 6:15 pm (UCD)
         R 1:00 pm - 3:00 pm
        M 9:00 am - 12 noon

              1:00 pm - 3:00 pm

Phone:

 

 

903.886.5684 (office)
903.455.8829 (home)
903.886.5693 (fax)

 

 

Required Text:

Business Statistics, In Practice Bruce L. Bowerman, Richard T. O'Connell, Emily S. Murphree, McGraw-Hill Irwin, 6th Edition, 2009, ISBN-0-07-340183-8.

Course Description:

A course dealing with statistical concepts including measures of central tendency and dispersion, probability distributions, the Central Limit Theorem, sampling, estimation, hypothesis testing, analysis of variance, correlation and regression analysis, multiple regression and statistical forecasting.

Course Objectives:

The objective of this course is to provide an understanding for the graduate business student on statistical concepts to include measurements of location and dispersion, probability, probability distributions, sampling, estimation, hypothesis testing, regression, and correlation analysis, multiple regression and economic forecasting. By completing this course the student will:

1) know the definition of the variance and the standard deviation.

2) be able to use the binomial distribution tables to solve a problem.

3) be able to use the normal distribution table to solve a problem.

4) know the central limit theorem.

5) be able to test a hypothesis as well as a calculate confidence interval for a population parameter.

6) will be able to test a statistical hypothesis using Z and p-value.

7) know how to test difference between two sample means.

8) know how to compute and interpret the results of a one-way ANOVA.

9) know how to compute and interpret the results of a Chi-Square test for independence as well as a test for homogeneity.

10) know how to calculate and interpret the results of regression and correlation analysis.

11) be able to determine from an Excel print out, the analytical factors for a multiple regression problem analysis.

12) understand how to forecast for time series using stationary methods, trend methods and seasonal methods.

Grading Policy:

Evaluation of student performance will be based primarily upon two equally weighted tests (45% each). The remaining 10% will be awarded for the assigned problems. Grades for the course will be determined by achieving the following average ranges:

 

 

Average Range

Grade

90-100

A

80-89

B

70-79

C

60-69

D

Below 60

F

Special Accommodations:

Students with Disabilities:

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you have a disability requiring an accommodation, please contact:

Office of Student Disability Resources and Services

Texas A&M University-Commerce

Gee Library, Room 132

Phone (903) 886-5150 or (903) 886-5835

Fax (903) 468-8148

   Email: StudentDisabilityServices@tamu-commerce.edu

 

NOTE THE FOLLOWING

  1. The assignments listed are tentative for the semester. It is meant to be a guide. Certain topics may be stressed more or less than indicated in the text and depending on class progress, certain topics may be omitted.
  2. Homework:   problems have been identified to work on your own for practice and to support your understanding of chapter material. They are not to be turned in. Additional problems may be identified as the class progresses.
  3. ASSIGNED PROBLEMS: Certain problems will be assigned to be turned in. These problems will constitute 10% of the course grade. Check the Status of your hand in problem assignments
  4. A power point presentation  and solutions to text problems for the course are available online.
  5. The mid term exam date indicated on the course syllabus is approximate. You will be informed, at least one week before the exam.
  6. Missed examination: Inform instructor if midterm or final exam are to be missed.
  7. Students are expected to:

a. Read text assignments as scheduled.

b. Work the designated homework problems prior to class  (Note: Answers to odd questions may be found in back of text ). 

8.      Classroom Demeanor: “All students enrolled at the university shall follow tenets of common decency and acceptable behavior conducive to a positive learning environment ”. See Students Guide Book.

9.      Attendance Policy :  You are expected to be present for all class meetings of this course.  You will be allowed to make up work for classes you miss only if your absence is excusable.  Excusable absences are defined in the current University Catalog.

10.  Special Needs : “Request from students with disabilities for reasonable accommodations must go through the academic support committee. For more information, please contact the office of Advisement Services, BA 314 , 903 – 886 – 5133.

 

Schedule of Assignments:

The schedule will depend on class progress; chapter assignments and tests may be altered as the class progresses. Students should read chapters and do as many of the designated homework problems as possible and be familiar with the chapter summaries and key terms.

UNIT 1 
(Chapters 1- 8)

Text Assignment

Designated Homework Problems

Date (week of )

Chapter Goals

Chapter 1
Introduction to Business Statistics

 

1.1, 2, 3, 4, 5, 15, 16, 17

 

 Aug 30

1. Define inferential and descriptive statistics.

2. Differentiate between a quantitative and a qualitative variable.

3. Differentiate between a discrete and a continuous variable.

4.  Know the four levels of measurement – nominal, ordinal, interval, and ratio.

Chapter 2  Descriptive Statistics: Tabular and Graphical Methods

2.17

 Aug 30

1. Construct a frequency distribution.

2. Determine the class midpoints, relative frequencies, and cumulative frequencies of a frequency distribution.

3. Construct a histogram, a frequency polygon, an ogive, and a pie chart.

Chapter 3
Descriptive Statistics: Numerical Methods

3.2, 3, 8, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27, 28, 30, 31

 Aug 30

1.     Define the mean, mode, and median.

2.     Explain the characteristics of the mean,    mode, and median.

3.      Calculate the mean, mode and median for both grouped and ungrouped data.

4.     Define the range, mean deviation, variance, and the standard deviation.

5.      Explain the characteristics of the range, mean deviation, variance, and the standard deviation.

6.     Calculate the range, mean deviation, variance, and the standard deviation for grouped and ungrouped data.

7.     Define Skewness and Kurtosis.

8.     Define and calculate the coefficient of variation.

Chapter 4
Probability

4.2, 3, 8, 9, 11, 13, 18, 19, 20, 21, 24, 25, 27, 29, 43, 49

Sept 6

 

1.    Define probability.

2.    Define marginal, conditional, and joint probabilities.

3.    Use the special and general rules of multiplication and addition in probability computation.

4.     Calculate marginal, conditional, and joint probabilities.

Chapter 5
 Discrete Random Variables

5.1, 3, 9, 13, 23, 24, 25, 27, 28, 32, 34, 35, 45, 47, 48

Hand in Assigned Problem # 1 in class on Sept 14th hand Excel and MegaStat Solutions.

Sept 13 

1.     Define probability distribution and random variable.

2.      Calculate the mean, variance, and standard deviation of a discrete distribution.

3.     Describe the characteristics and compute probabilities using the binomial probability distribution – use of tables.

4.     Calculate the mean variance and standard deviation of a binomial distribution.

5.      Describe the characteristics and compute probabilities using the Poisson distribution – use of tables. 

Chapter 6
Continuous Random Variables

 

6.16, 18, 19, 23, 24, 26, 28, 29, 30, 31, 33, 34, 37, 40, 67, 71

 Sept 20

1.      Describe the characteristics of and compute probabilities involving the normal distribution – use of tables.

2.      Use the normal distribution as an approximation of the binomial distribution.

Chapter 7
Sampling Distributions   (Section 1.5)

7.9, 10, 11, 12, 13, 14, 16, 18, 19, 21, 22, 23, 24, 25, 28, 29, 34

 

 

 Sept 27

 

1.      Describe various sampling techniques.

2.      Explain the Central Limit Theorem.

3.      Explain sampling error.

4.      Describe the sampling distribution of means.

5.      Define the standard error of the mean.

Chapter  8
Confidence Intervals

8.5, 6, 8, 10, 11, 12, 14, 15, 16, 17, 19, 20, 22, 23, 29, 30, 39, 40, 41, 43

Oct 4

1.     Calculate confidence intervals for sample means and sample proportions.

2.     Describe the characteristics of Student’s t distribution.

3.     Use the Student’s t probability table to calculate confidence interval

Midterm exam

 

 

Oct 12

Subject to class progress

 

 

UNIT 2 
 (Chapters 9 -14)

 

Text Assignment

         Designated             Homework      Problems

Date        (week of )

Chapter Goals

Chapter 9 Hypothesis Testing

9.3, 4, 5, 6, 16, 17, 18, 19, 20, 30, 39, 40, 43, 44, 46,  51, 53, 56, 61, 73, 74, 75

 Oct 18

1.  Identify Type I and Type II errors.

 2. Conduct a test of hypothesis about a population mean and a population proportion.

 3. Conduct the test of hypothesis using one and two tail tests.

 4.Conduct the test of hypothesis regarding one population mean with a small sample.

Chapter 10
 Statistical Inferences Based on Two Samples

10.6, 7, 8, 9, 16, 20, 21, 22, 38, 39, 41, 42, 50, 51

 

 Oct 25

1.    Conduct a test of hypothesis about the difference between two population means involving large and small sample sizes and two population proportions.

2.    Conduct the test of hypothesis regarding the difference in means of two independent samples.

Chapter 11   Experimental Design and Analysis of Variance

3, 10, 11.34

Hand in Assigned problems # 2, 3 and 4 on Apr 6

 Nov 1

1.    Understand the differences between various experiment designs and when to use them.

2.    Compute and interpret the results of a one-way ANOVA.

3.    Compute and interpret the results of a random block design.

4.    Compute and interpret the results of a two-way ANOVA.

Chapter  12         Ch-square Tests

12.6, 7, 9, 17, 19, 20, 24, 25

 Nov 8

1.    Understand and interpret interaction.

2.    Understand the chi-square goodness-of-fit test and how to use it.

3.    Analyze data by using the chi-square test of independence.

Chapter 13
Simple Linear Regression Analysis  (sections 2.6 and 3.4)

13.8, 12, 15, 20, 21, 22, 36, 37, 38, 39, 40

Hand in Assigned problems # 5 & #6 on Apr 13th

 

 Nov 15

1.    Describe the relationship between an independent variable and a dependent variable.

2.    Calculate and interpret the coefficient of correlation, the coefficient of determination and the standard error of the estimate.

3.     Calculate the least squares regression line and interpret the slope and intercept values.

4.     Test the slope of the line for statistical significance.

5.    Construct and interpret a confidence interval and prediction interval for the mean and an individual value of the dependent variable.

Chapter 14   Multiple Regression

14.4, 5, 9, 10, 11, 19, 20

Hand in Assigned problems # 7  and #8 on Nov 23

 Nov 22

1.   Describe the relationship between two or more independent variables and the dependent variable using a multiple regression equation.

2.   Compute and interpret the multiple standard error of the estimate and the coefficient of determination.

3.   Conduct a test of hypothesis to determine if any of the set of regression coefficients differs from zero.

Chapter 15  Model Building and Model Diagnostics 

15.3, 6, 7, 8, 25, 33

Hand in Assigned problems #9 and #10 on Nov 30

 Nov 29 & Dec 6

 

1. Develop models to represent non-linear relationships

Final Exam

 

 Dec 14