Fundamentals of Statistics Book

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 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 The Coefficient of Determination

4.4 Contingency Tables and Association

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?

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

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 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

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Putting It Together: Which Procedure Do I Use?

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 Putting It Together: Which Method Do I Use?

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 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 Testing the Significance of the Least-Squares Regression Model

12.4 Confidence and Prediction Intervals

Chapter 12 Review

Chapter Test

Making an Informed Decision: Benefits of College

Case Study: Feeling Lucky? Well, Are You?

Additional Topics on CD

C.1 Lines

C.2 Estimating a Population Standard Deviation

C.3 Hypothesis Tests for a Population Standard Deviation

C.4 Comparing Three or More Means (One-Way Analysis of Variance)

Appendix A. Tables

Photo Credits

Answers

Index