Statistics

With training in mathematics, statistics, and economics, Mike Sullivan, III has a varied teaching background that includes 15 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics and statistics at Joliet Junior College. Mike has numerous textbooks in publication in addition to his Introductory Statistics Series, which include a Developmental Math series, and a Precalculus series, which he writes with his father, Michael Sullivan.  Mike has built this book in the classroom using feedback from his students. He is well aware of the challenges of students taking an introductory statistics course.  His goal is for students to be more informed interpreters of data, so that they will be better decision makers and have stronger critical-thinking skills. When not in the classroom or writing, Michael enjoys spending time with his three children, Michael, Kevin, and Marissa, and playing golf.

Preface to the Instructor

Supplements

Technology Resources

An Introduction to the Applets

Applications Index

 

PART 1. GETTING THE INFORMATION YOU NEED

 

1. Data Collection

1.1 Introduction to the Practice of Statistics

1.2 Observational Studies versus Designed Experiments

1.3 Simple Random Sampling

1.4 Other Effective Sampling Methods

1.5 Bias in Sampling

1.6 The Design of Experiments

            Chapter 1 Review

            Chapter Test

            Making an Informed Decision:What Movie Should I Go To?

            Case Study: Chrysalises for Cash

 

PART 2. DESCRIPTIVE STATISTICS

 

2. Organizing and Summarizing Data

2.1 Organizing Qualitative Data

2.2 Organizing Quantitative Data:The Popular Displays

2.3 Additional Displays of Quantitative Data

2.4 Graphical Misrepresentations of Data

            Chapter 2 Review

            Chapter Test

            Making an Informed Decision:Tables or Graphs?

            Case Study: The Day the Sky Roared

 

3. Numerically Summarizing Data

3.1 Measures of Central Tendency

3.2 Measures of Dispersion

3.3 Measures of Central Tendency and Dispersion from Grouped Data

3.4 Measures of Position and Outliers

3.5 The Five-Number Summary and Boxplots

            Chapter 3 Review

            Chapter Test

            Making an Informed Decision: What Car Should I Buy?

            Case Study:Who Was A Mourner?

 

4. Describing the Relation between Two Variables

4.1 Scatter Diagrams and Correlation

4.2 Least-Squares Regression

4.3 Diagnostics on the Least-Squares Regression Line

4.4 Contingency Tables and Association

4.5 Nonlinear Regression:Transformations (on CD)

            Chapter 4 Review

            Chapter Test

            Making an Informed Decision: What Car Should I Buy?

            Case Study: Thomas Malthus, Population, and Subsistence

 

PART 3. PROBABILITY AND PROBABILITY DISTRIBUTIONS

 

5. Probability

5.1 Probability Rules

5.2 The Addition Rule and Complements

5.3 Independence and the Multiplication Rule

5.4 Conditional Probability and the General Multiplication Rule

5.5 Counting Techniques

5.6 Putting It Together:Which Method Do I Use?

5.7 Bayes’s Rule (on CD)

            Chapter 5 Review

            Chapter Test

            Making an Informed Decision: Sports Probabilities

            Case Study: The Case of the Body in the Bag

 

6. Discrete Probability Distributions

6.1 Discrete Random Variables

6.2 The Binomial Probability Distribution

6.3 The Poisson Probability Distribution

6.4 The Hypergeometric Probability Distribution (on CD)

            Chapter 6 Review

            Chapter Test

            Making an Informed Decision: Should We Convict?

            Case Study: The Voyage of the St. Andrew

 

7. The Normal Probability Distribution

7.1 Properties of the Normal Distribution

7.2 The Standard Normal Distribution

7.3 Applications of the Normal Distribution

7.4 Assessing Normality

7.5 The Normal Approximation to the Binomial Probability Distribution

            Chapter 7 Review

            Chapter Test

            Making an Informed Decision: Join the Club

            Case Study: A Tale of Blood Chemistry and Health

 

PART 4. INFERENCE: FROM SAMPLES TO POPULATION

 

8. Sampling Distributions

8.1 Distribution of the Sample Mean

8.2 Distribution of the Sample Proportion

            Chapter 8 Review

            Chapter Test

            Making an Informed Decision: How Much Time Do You Spend in a Day...?

            Case Study: Sampling Distribution of the Median

 

9. Estimating the Value of a Parameter Using Confidence Intervals

9.1 The Logic in Constructing Confidence Intervals for a Population Mean When the Population Standard Deviation Is Known

9.2 Confidence Intervals for a Population Mean When the Population Standard Deviation Is Unknown

9.3 Confidence Intervals for a Population Proportion

9.4 Confidence Intervals for a Population Standard Deviation

9.5 Putting It Together:Which Procedure Do I Use?

            Chapter 9 Review

            Chapter Test

            Making an Informed Decision: Whats Your Major?

            Case Study:When Model Requirements Fail

 

10. Hypothesis Tests Regarding a Parameter

10.1 The Language of Hypothesis Testing

10.2 Hypothesis Tests for a Population Mean–Population Standard Deviation Known

10.3 Hypothesis Tests for a Population Mean–Population Standard Deviation Unknown

10.4 Hypothesis Tests for a Population Proportion

10.5 Hypothesis Tests for a Population Standard Deviation

10.6 Putting It Together:Which Method Do I Use?

10.7 The Probability of a Type II Error and the Power of the Test

            Chapter 10 Review

            Chapter Test

            Making an Informed Decision: What Does It Really Weigh?

            Case Study: How Old Is Stonehenge?

 

11. Inferences on Two Samples

11.1 Inference about Two Means: Dependent Samples

11.2 Inference about Two Means: Independent Samples

11.3 Inference about Two Population Proportions

11.4 Inference for Two Population Standard Deviations

11.5 Putting It Together:Which Method Do I Use?

            Chapter 11 Review

            Chapter Test

            Making an Informed Decision: Where Should I Invest?

            Case Study: Control in the Design of an Experiment

 

12. Inference on Categorical Data

12.1 Goodness-of-Fit Test

12.2 Tests for Independence and the Homogeneity of Proportions

            Chapter 12 Review

            Chapter Test

            Making an Informed Decision: Benefits of College

            Case Study: Feeling Lucky? Well, Are You?

 

13. Comparing Three or More Means

13.1 Comparing Three or More Means (One-Way Analysis of Variance)

13.2 Post Hoc Tests on One-Way Analysis of Variance

13.3 The Randomized Complete Block Design

13.4 Two-Way Analysis of Variance

            Chapter 13 Review

            Chapter Test

            Making an Informed Decision: Where Should I Invest? Part II

            Case Study: Hat Size and Intelligence

 

14. Inference on the Least-Squares Regression Model and Multiple Regression

14.1 Testing the Significance of the Least-Squares Regression Model

14.2 Confidence and Prediction Intervals

14.3 Multiple Regression

            Chapter 14 Review

            Chapter Test

            Making an Informed Decision: Buying a Car

            Case Study: Housing Boom

 

15. Nonparametric Statistics (on CD)

15.1 An Overview of Nonparametric Statistics

15.2 Runs Test for Randomness

15.3 Inferences about Measures of Central Tendency

15.4 Inferences about the Difference between Two Medians: Dependent Samples

15.5 Inferences about the Difference between Two Medians: Independent Samples

15.6 Spearman’s Rank-Correlation Test

15.7 Kruskal—Wallis Test

            Chapter Test

            Making an Informed Decision: Where Should I Live?

            Case Study: Evaluating Alabamas 1891 House Bill 504

 

Appendix A Tables

Appendix A Tables (on CD)

Appendix B Lines (on CD)

Photo Credits

 

Answers

Index