Statistics Informed Decisions Using Data

For courses in introductory statistics.

Putting It Together

Statistics: Informed Decisions Using Data, Fifth Edition, gives students the tools to see a bigger picture and make informed choices. As a current introductory statistics instructor, Mike Sullivan III presents a text that is filled with ideas and strategies that work in today’s classroom. His practical emphasis resonates with students and helps them see that statistics is connected, not only to individual concepts, but also with the world at large.

MyLab™ Statistics for this edition takes advantage of data analytics to add additional exercises to high usage chapters. New Technology Support Videos show the author demonstrating easy-to-follow steps to solve a problem in several different formats—by hand, TI-84, and StatCrunch^™.

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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, Mike enjoys spending time with his three children, Michael, Kevin, and Marissa, and playing golf.

Preface to the Instructor

Resources for Success

Technology Resources

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 College Should I Attend?

            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 (online) 4-1

            Chapter 4 Review

            Chapter Test

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

            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 (online) 5-1

            Chapter 5 Review

            Chapter Test

            Making an Informed Decision: The Effects of Drinking and Driving

            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 (online) 6-1

            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 Applications of the Normal Distribution

7.3 Assessing Normality

7.4 The Normal Approximation to the Binomial Probability Distribution

            Chapter 7 Review

            Chapter Test

            Making an Informed Decision: Stock Picking

            Case Study: A Tale of Blood Chemistry

            Inference: From Samples to Population

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

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Estimating a Population Standard Deviation

9.4 Putting It Together: Which Procedure Do I Use?

9.5 Estimating with Bootstrapping

            Chapter 9 Review

            Chapter Test

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

            Case Study: Fire-Safe Cigarettes

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 10 Review

            Chapter Test

            Making an Informed Decision: Selecting a Mutual Fund

            Case Study: How Old Is Stonehenge?

11. Inferences on Two Samples

11.1 Inference about Two Population Proportions

11.2 Inference about Two Means: Dependent Samples

11.3 Inference about Two Means: Independent Samples

11.4 Inference about Two Population Standard Deviations

11.5 Putting It Together: Which Method Do I Use?

            Chapter 11 Review

            Chapter Test

            Making an Informed Decision: Which Car Should I Buy?

            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

12.3 Inference about Two Population Proportions: Dependent Samples

            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?

            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 Introduction to Multiple Regression

14.4 Interaction and Dummy Variables

14.5 Polynomial Regression

14.6 Building a Regression Model

            Chapter 14 Review

            Chapter Test

            Making an Informed Decision: Buying a Home

            Case Study: Housing Boom

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 15 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 (online)

Photo Credits

Answers

Index

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