STAT 3013  Introduction to Probability and Statistics

Cameron University     Summer 20009

Course Syllaubs

 

Meeting Time:  MTWTh  8:00 to 9:15 a.m.

Textbook:  Introduction to Probability & Statistics, 13th edition

          By Medenhall, Beaver, and Beaver

          ISBN-13:  978-0-495-55555-1

 

Instructor:       Professor Wayne Eby

Office:             Burch Hall, Room B014, Main Campus (Lawton)

Office Phone:  (580) 581-2395

Email Address: weby@cameron.edu

Webpage:                www.cameron.edu/~weby/index.html

 

Grading Method:  The grade will be based on one (1) Quiz/Homework grade, two (2) Midterm Exam grades, and one (1) Final Exam grade.  The percentages are as follows:

                15 %        Quiz / Homework Average

                45 %        Midterm Exams (20 % lower, 25 % higher)

                40 %        Final Exam

           100 %

 

Grading Scale:  Grades will be determined by the following scale.

        90 % -- 100 %         A

        80 % -- 89.9 %        B

        70 % -- 79.9 %        C

        60 % -- 69.9 %        D

        0 %  -- 59.9 %       F

 

Homework:  It is important to practice with the suggested homework problems.  There is a list of such problems attached to this syllabus.  I may occasionally request the students to submit a selected number of these problems so I can check them.

 

Quizzes:  There will be a weekly quiz, every Thursday (with the exception of week 7, during which the quiz will be given Wednesday July 15).

 

 

Midterm Exams:  The date of each of the two Midterm Exams will be announced in class one week prior to the exam date.  An exam review will be conducted in class for 1 hour during the class prior to the exam.  Be sure to be in class for both the review and the exam.  If you know in advance you must miss an exam, you must make alternative arrangements with me prior to the date of the exam.  If you must miss an exam for unforeseen circumstances, you must contact me as soon as possible to arrange for the make-up. 

The expected dates for the two midterms are as follows:  Ex. I, Tuesday, June 23;

Ex. II, Thursday, July 16.  However this is subject to change.

 

Final Exam:  The Final Exam will be cumulative and will be held the last day of class.  Be sure you will be in class this day.  If you miss the Final Exam, you will receive a 0 and cannot pass the class.
Topics Included in Statistics 3013

Medenhall, Beaver, and Beaver, Introduction to Probability & Statistics

 

Chapter 1:  Describing Data with Graphs

Section 1.1  Variables and Data

Section 1.2  Types of Variables

Section 1.3  Graphs of Categorical Data

Section 1.4  Graphs for Quantitative Data

Section 1.5  Relative Frequency Histograms

 

Chapter 2:  Describing Data with Numerical Measures

Section 2.1  Describing a Set of Data with Numerical Data

Section 2.2  Measures of Center

Section 2.3  Measures of Variability

Section 2.4  On the Practical Significance of the Standard Deviation

Section 2.5  A Check on the Calculation of s

Section 2.6  Measures of Relative Standing

Section 2.7  The Five-Number Summary and the Box Plot

 

Chapter 3:  Describing Bivariate Data

Section 3.1  Bivariate Data

Section 3.2  Graphs for Qualitative Variables

Section 3.3  Scatterplots for Two Quantitative Variables

Section 3.4  Numerical Measures for Quantitative Bivariate Data

 

Chapter 4:  Probability and Probability Distributions

Section 4.1  Role of Probability in Statistics

Section 4.2  Events and the Sample Space

Section 4.3  Calculating Probabilities Using Simple Events

Section 4.4  Useful Counting Rules (optional)

Section 4.5  Event Relations and Probability Rules

Section 4.6  Independence, Conditional Probability, and Multiplication Rule

Section 4.7  Bayes Rule (optional)

Section 4.8  Discrete Random Variables and Their Probability Distributions

 

Chapter 5:  Several Useful Distributions

Section 5.1  Introduction

Section 5.2  The Binomial Probability Distribution

Section 5.3  The Poisson Probability Distribution

Section 5.4  The Hypergeometric Probability Distribution

 

Chapter 6:  The Normal Probability Distribution

Section 6.1  Probability Distributions for Continuous Random Variables

Section 6.2  The Normal Probability Distribution

Section 6.3  Tabulated Areas of the Normal Probability Distribution

Section 6.4  The Normal Approximation to the Binomial Probability Distribution

 

Chapter 7:  Sampling Distributions

Section 7.1  Introduction

Section 7.2  Sampling Plans and Experimental Designs

Section 7.3  Statistics and Sampling Distributions

Section 7.4  The Central Limit Theorem

Section 7.5  The Sampling Distribution of the Sample Mean

Section 7.6  The Sampling Distribution of the Sample Proportion

Section 7.7  A Sampling Application:  Statistical Process Control (optional)

 

Chapter 8:  Large-Sample Estimation

Section 8.1  Where We’ve Been

Section 8.2  Where We’re Going—Statistical Estimators

Section 8.3  Types of Estimators

Section 8.4  Point Estimation

Section 8.5  Interval Estimation

Section 8.6  Estimating the Difference between Two Population Means

Section 8.7  Estimating the Difference between Two Binomial Proportions

Section 8.8  One-Sided Confidence Bounds

Section 8.9  Choosing the Sample Size

 

Chapter 9:  Large-Sample Tests of Hypotheses

Section 9.1  Testing Hypotheses about Population Parameters

Section 9.2  A Statistical Test of Hypothesis

Section 9.3  A Large-Sample Test about a Population Mean

Section 9.4  A Large-Sample Test of Hypothesis for the Difference between Two Population Means

Section 9.5  A Large-Sample Test of Hypothesis for a Binomial Proportion

Section 9.6  A Large-Sample Test of Hypothesis for the Difference between Two Binomial Proportions

Section 9.7  Some Comments on Testing Hypotheses

 

Chapter 10:  Inference From Small Samples

Section 10.1  Introduction

Section 10.2  Student’s t Distribution

Section 10.3  Small-Sample Inferences Concerning a Population Mean

Section 10.4  Small-Sample Inferences for the Difference between Two Population Means:  Independent Random Samples

Section 10.5  Small-Sample Inferences for the Difference between Two Population Means:  A Paired-Difference Test

Section 10.6  Inferences Concerning a Population Variance

Section 10.7  Comparing Two Population Variances

Section 10.8  Revisiting the Small-Sample Assumptions

 


List of Suggested Problems

Medenhall, Beaver, and Beaver, Introduction to Probability & Statistics, 13th edition

 

1.3:  #1.3, 1.5, 1.7, 1.11, 1.13

1.5:  #1.19, 1.21, 1.23, 1.25, 1.27, 1.31

Ch. 1 Supplementary:  #1.41, 1.43, 1.45, 1.47, 1.49, 1.51, 1.59, 1.63

 

2.2:  #2.1, 2.3, 2.5, 2.11

2.3:  #2.13, 2.15, 2.17

2.5:  #2.19, 2.21, 2.25, 2.27, 2.29, 2.31, 2.33, 2.35

2.7:  #2.43, 2.45, 2.47, 2.51

Ch. 2 Supplementary:  #2.55, 2.57, 2.61, 2.67, 2.71, 2.75, 2.83

 

3.2:  #3.1, 3.3, 3.5, 3.7

3.4:  #3.11, 3.13, 3.15, 3.17

Ch. 3 Supplementary:  #3.21, 3.23, 3.25, 3.29, 3.31, 3.35, 3.37, 3.39

 

4.3:  #4.1, 4.3, 4.5, 4.7, 4.9, 4.13, 4.15

4.4:  #4.17, 4.19, 4.21, 4.23, 4.27, 4.29, 4.33

4.6:  #4.43, 4.45, 4.47, 4.49, 4.51, 4.55, 4.59, 4.63

4.7:  #4.69, 4.71, 4.73, 4.75, 4.77, 4.79

4.8:  #4.81, 4.83, 4.85, 4.87, 4.91, 4.93, 4.97

Ch. 4 Supplementary:  #4.101, 4.103, 4.107, 4.109, 4.113, 4.119, 4.121, 4.125, 4.127, 4.129

 

5.2:  #5.1, 5.3, 5.5, 5.7, 5.9, 5.11, 5.15, 5.17, 5.19, 5.23, 5.27, 5.29, 5.31

5.3:  #5.35, 5.37, 5.39, 5.41, 5.43, 5.45

5.4:  #5.49, 5.51, 5.53, 5.55

Ch. 5 Supplementary:  #5.59, 5.61, 5.63, 5.69, 5.73, 5.75, 5.81, 5.83, 5.87, 5.91

 

6.3:  #6.1, 6.3, 6.5, 6.7, 6.9, 6.11, 6.13, 6.15, 6.19, 6.21, 6.25, 6.27, 6.31

6.4:  #6.37, 6.39, 6.43, 6.45, 6.47, 6.53

Ch. 6 Supplementary:  #6.55, 6.57, 6.59, 6.61, 6.63, 6.65, 6.69, 6.71, 6.73, 6.73, 6.79, 6.81

 

7.2:  #7.3, 7.5, 7.7, 7.9, 7.11

7.5:  #7.19, 7.21, 7.23, 7.25, 7.27, 7.29, 7.31

7.6:  #7.37, 7.39, 7.41, 7.43, 7.45, 7.47

7.7:  #7.49, 7.51, 7.53, 7.55, 7.57

Ch. 7 Supplementary:  #7.61, 7.63, 7.65, 7.67, 7.69, 7.71, 7.73, 7.75, 7.77, 7.81

 

8.4:  #8.3, 8.5, 8.7, 8.9, 8.11, 8.13, 8.15, 8.17, 8.21

8.5:  #8.23, 8.25, 8.27, 8.29, 8.31, 8.33

8.6:  #8.39, 8.43, 8.45, 8.47

8.7:  #8.51, 8.53, 8.57, 8.61

8.9:  #8.63, 8.65, 8.67, 8.71, 8.73, 8.77, 8.79

Ch. 8 Supplementary:  #

 

9.3:  #

9.4:  #

9.5:  #

9.6:  #

Ch. 9 Supplementary:  #

 

10.3:  #

10.4:  #

10.5:  #

10.6:  #

10.7:  #

Ch. 10 Supplementary:  #