Interactive Statistics

Mike Sullivan, III, has training in mathematics, statistics, and economics, and brings a varied teaching background that includes 15 years of instruction in both high school and college-level. 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 series in both Developmental Mathematics and Precalculus (written with his father, Michael Sullivan). Mike has built this new statistics book in the classroom using feedback from his students. He is well aware of the challenges faced by students taking an introductory statistics course. Mike’s 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.   George Woodbury earned a bachelor’s degree in Mathematics from the University of California—Santa Barbara and a master’s degree in Mathematics from California State University—Northridge. He currently teaches at College of the Sequoias in Visalia, CA, just outside of Fresno. George has been honored as an instructor by both his students and his colleagues. Aside from teaching and writing, George served as the department chair of the math/engineering division from 1999 through 2004.  

 

Part I: Getting the Information You Need

 

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?

 

Part II: 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 Review

            Chapter Test

            Making an Informed Decision: Tables or Graphs?

 

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?

 

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

            Chapter Review

            Chapter Test

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

 

Part III: 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: Probability

            Chapter Review

            Chapter Test

            Making an Informed Decision: The Effects of Drinking and Driving

 

6. Discrete Probability Distributions

6.1 Discrete Random Variables

6.2 The Binomial Probability Distribution

6.3 The Poisson Probability Distribution

            Chapter Review

            Chapter Test

            Making an Informed Decision: Should We Convict?

 

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

 

Part IV: Inference–From Samples to Population

 

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...?

 

9. Estimating the Value of a Parameter

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Putting It Together: Which Procedure Do I Use?

9.4 Estimating with Bootstrapping

            Chapter Review

            Chapter Test

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

 

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 Putting It Together: Which Method Do I Use?

            Chapter Review

            Chapter Test

            Making an Informed Decision: Selecting a Mutual Fund

 

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 Putting It Together: Which Method Do I Use?

            Chapter Review

            Chapter Test

            Making an Informed Decision: Which Car Should I Buy?

 

12. Inference on Categorical Data

12.1 Goodness of Fit Test

12.2 Tests for Independence and the Homogeneity of Proportions

12.3 Inference about Two Proportions: Dependent Samples

            Chapter Review

            Chapter Test

            Making an Informed Decision: Benefits of College

 

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

            Chapter Review

            Chapter Test

            Making an Informed Decision: Where Should I Invest?

 

14. Inference of the Least-Squares Regression Model

14.1 Testing the Significance of the Least-Squares Regression Model

14.2 Confidence and Prediction Intervals

            Chapter Review

            Chapter Test

            Making an Informed Decision: Buying a Home

 

Answers

Index