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.

Part I:  Getting the Information You Need



Chapter 1  Data Collection

1.1   Introduction to the Practice of Statistics

1.2   Observational Studies and Experiments

1.3   Simple Random Sampling

1.4   Other Effective Sampling Methods

1.5   Bias in Sampling

1.6   The Design of Experiments

Chapter Review

Chapter Test

Making an Informed Decision: What College Should I Attend?

Case Study:  Chrysalises for Cash

 

Part II:  Descriptive Statistics

Chapter 2  Creating Tables and Drawing Pictures of Data

            2.1 Organizing Qualitative Data

            2.2 Organizing Quantitative Data: The Population Displays

            2.3 Additional Displays of Quantitative Data

            2.4 Graphical Misrepresentations of Data

            Chapter Review

Chapter Test

Making an Informed Decision: Tables or Graphs?

Case Study:  The Day the Sky Roared

 

Chapter 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 Review

Chapter Test

Making an Informed Decision: What Car Should I Buy?

Case Study: Who Was “A Mourner”?

 

Chapter 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 Review

Chapter Test

Making an Informed Decision: Relationships of Variables on a World Scale

Case Study: Thomas Malthus, Population, and Subsistence

 

Part III: Probability and Probability Distributions

Chapter 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: Probability         

            5.7 Bayes’s Rule (on CD)

            Chapter Review

Chapter Test

Making an Informed Decision: The Effects of Drinking and Driving

Case Study:  The Case of the Body in the Bag

 

Chapter 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 Review

Chapter Test

Making an Informed Decision: Should We Convict?

Case Study:  The Voyage of the St. Andrew

 

Chapter 7  The Normal Probability Distribution

            7.1 Properties of the Normal Distribution

            7.2 Applications of the Normal Distribution

            7.3 Assessing Normality

            7.4 The Normal Approximation to the Binomial Probability Distribution

            Chapter Review

Chapter Test

Making an Informed Decision: Stock Picking

Case Study:  A Tale of Blood, Chemistry, and Health

 

Part IV:  Inferences – From Samples to Population

Chapter 8  Sampling Distributions

            8.1 Distribution of the Sample Mean

            8.2 Distribution of the Sample Proportion

            Chapter Review

Chapter Test

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

Case Study:  Sampling Distribution of the Median

 

Chapter 9  Estimating the Value of a Parameter Using Confidence Intervals

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Confidence Intervals for a Population Standard Deviation

9.4 Putting It Together: Which Procedure Do I Use?

9.5 Estimating with Bootstrapping (NEW)
Chapter Review

Chapter Test

Making an Informed Decision: How Much Should I Spend for this House?

Case Study:  Fire-Safe Cigarettes

 

Chapter 10  Hypothesis Tests Regarding a Parameter

            10.1 The Language of Hypothesis Testing

            10.2 Hypothesis Tests for a Population Proportion

            10.3 Hypothesis Tests for a Population Mean

            10.4 Hypothesis Tests for a Population Standard Deviation

            10.5 Putting It Together: Which Method Do I Use?

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

            Chapter Review

Chapter Test

Making an Informed Decision: Selecting a Mutual Fund

Case Study:  How Old Is Stonehenge?

 

Chapter 11  Inference on Two Samples

            11.1 Inference about Two Proportions

11.2 Inference about Two Means: Dependent Samples

            11.3 Inference about Two Means: Independent Samples

            11.4 Inference about Two Standard Deviations

            11.5 Putting It Together: Which Method Do I Use?

            Chapter Review

Chapter Test

Making an Informed Decision: Which Car Should I Buy?

Case Study: Control in the Design of Experiment

 

Chapter 12  Inference on Categorical Data

            12.1 Goodness of Fit Test

            12.2 Tests for Independence and the Homogeneity of Proportions

            Chapter Review

Chapter Test

Making an Informed Decision: Benefits of College

Case Study: Feeling Lucky? Well, Are You?

 

Chapter 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 Review

Chapter Test

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

Case Study: Hat Size and Intelligence

 

Chapter 14  Inference of 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 Review

Chapter Test

Making an Informed Decision: Buying a Home

Case Study: Housing Boom

 

Chapter 15  Nonparametric Statistics

            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 Review

Chapter Test

Making an Informed Decision: Where Should I Live?

Case Study: Evaluating Alabama’s 1891 House Bill 504

 

Appendix A  Tables

Appendix B  Lines  (on CD)

 

Answers

Index