Topic Number | Major Topic | Text Chapter(s) | Subtopics |
1 |
Probability |
1 | Overview |
N/A | Using Technology |
1.2 | Pictoral and Tabular Methods |
1.3 | Measures of Location |
1.4 | Measures of Variability |
2 |
Probability |
2.1 | Experiments, Sample Spaces and Events |
N/A | Bernoulli Trials |
2.2 | Axioms, Interpretations, and Properties |
2.3 | Counting Techniques |
2.4 | Conditional Probability |
2.5 | Independence |
3 |
Discrete Random Variables |
3.1 | Random Variables |
3.2 | Discrete Probability Distributions |
3.3 | Expected Values |
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 |
N/A | Other Continuous Distributions |
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 |