1. Organizing and Summarizing Data

    1. Measures of Center
    2. Measures of Variability
    3. Categorical Graphs
    4. Simple Quantitative Displays
    5. Frequency Distribution
    6. The Histogram
    7. Measuring Relative Position
    8. Boxplots
    9. Linear Transformations
    10. What is Statistics?

  2. Producing Data

    1. Sampling Techniques
    2. Observational Studies, Experiments, and Surveys
    3. Experimental Design

  3. Probability

    1. Basic Probability Concepts
    2. Combinations and Permutations
    3. Addition Rule
    4. Multiplication Rule
    5. Conditional Probability
    6. Venn Diagrams and Tree Diagrams
    7. Two-Way Tables

  4. Statistical Distributions

    1. Uniform Distribution
    2. The Standard Normal Distribution
    3. Real-Life Applications of the Normal Distribution
    4. Assessing Normality

  5. Random Variables

    1. Probability Distribution
    2. Mean and Standard Deviation of a Probability Distribution
    3. Law of Large Numbers
    4. Addition Rules for Variances

  6. Binomial and Geometric Distributions

    1. Properties of a Binomial Experiment
    2. Calculating Binomial Probabilities
    3. Geometric Probabilities

  7. Sampling Distributions

    1. Sampling Distribution and Statistics
    2. Sampling Distribution of a Proportion
    3. Central Limit Theorem

  8. Statistical Inference Overview

    1. Confidence Intervals
    2. Hypothesis Testing
    3. Statistical Significance
    4. Type I and Type II Errors

  9. Inference with the z and t Distributions

    1. One-sample z test
    2. Two-sample z test
    3. z Confidence intervals for the Mean
    4. One-sample t test
    5. Matched-pair t test
    6. Two-sample t test
    7. t Confidence intervals for the Mean

  10. Inference for Proportions

    1. Confidence Intervals for p
    2. One-sample Hypothesis Test for p
    3. Two-sample Hypothesis Test for p

  11. Chi-Square Procedures

    1. Chi-Square Distribution
    2. Goodness of Fit Test
    3. Chi-Square Tests for Independence and Homogeneity

  12. Linear Regression and Correlation

    1. Independent and Dependent Variables
    2. Least Squares Regression Line (LSRL)
    3. Residual Plots and Outliers
    4. Correlation and Coefficient of Determination
    5. Confidence Interval for the Slope
    6. t Test for the Slope and the Correlation Coefficient
    7. Prediction Intervals

  13. Advanced Topics

    1. Hypothesis Testing for the Standard Deviation
    2. Nonlinear Transformations of Data
    3. Nonparametric Statistics
    4. Analysis of Variance