| Topic Number | Major Topic | Text Section(s) | Subtopics |
| 1 |
Probability |
2.1 | Sample Spaces and Events |
| 2.2 | Axioms, Interpretations, and Properties |
| 2.3 | Counting Techniques |
| 2.4 | Conditional Probability |
| 2.5 | Independence |
| 2 |
Descriptive Statistics |
1.1 | Overview |
| 1.2 | Pictoral and Tabular Methods |
| 1.3 | Measures of Location |
| 1.4 | Measures of Variability |
| 3 |
Discrete Random Variables |
3.1 | Random Variables |
| 3.2 | Discrete Probability Distributions |
| 3.3 | Expected Values |
| N/A | Bernoulli Trials |
| 3.4 | The Binomial Distribution |
| 3.5 | The Geometric, Negative Binomial, and Hypergeometric Distributions |
| 3.6 | The Poisson Distribution |
| 4 |
Continuous Random Variables |
4.1 | Probability Density Functions |
| 4.2 | Cumulative Distribution Functions and Expected Values |
| 4.3 | The Normal Distribution |
| 5 |
Sampling Distributions |
5.4 | Distribution of the Sample Mean |
| 5.4 | The Central Limit Theorem |
| 6 |
Confidence Intervals |
7.1 | Basic Properties of Confidence Intervals |
| 7.2 | Large Sample Results |
| 7.3 | Normal Population Results |
| 7.4 | Confidence Intervals for the Variance and Standard Deviation of a Normal Population |
| 7 |
Hypothesis Testing |
8.1 | Hypotheses and Test Procedures |
| 8.2 | Tests About a Population Mean |
| 8.3 | Tests About a Population Proportion |
| 8.4 | P-Values |
| 8 |
Inference Based on Two Samples |
9.1 | The Difference Between Two Polulation Means (Known Variance) |
| 9.2 | The Difference Between Two Polulation Means (Unknown Variance) |
| 9.3 | Analysis of Paired Data |
| | Applications of the Normal Distribution |
| 9 |
The Analysis of Variance |
N/A | Linear Models Overview |
| 10.1 | Single-Factor ANOVA |
| 11.1 | Two-Factor ANOVA |
| 12.1 | Simple Linear Regression |
| 10 |
Goodness of Fit and Categorical Data Analysis |
14.2 | Goodness of Fit |
| 14.3 | Two-Way Contingency Tables |