AP Statistics

Inference and Experiments

Introducing Statistics: Do the Data We Collected Tell the Truth?

Introduction to Experimental Design

Introduction to Planning a Study

Potential Problems with Sampling

Random Sampling and Data Collection

Selecting an Experimental Design

Comparing Distributions of a Quantitative Variable

Describing the Distribution of a Quantitative Variable

Graphical Representations of Summary Statistics

Introducing Statistics: What Can We Learn from Data?

Representing a Categorical Variable with Graphs

Representing a Categorical Variable with Tables

Representing a Quantitative Variable with Graphs

Summary Statistics for a Quantitative Variable

The Language of Variation: Variables

The Normal Distribution

Analyzing Departures from Linearity

Correlation

Introducing Statistics: Are Variables Related?

Least Squares Regression

Linear Regression Models

Representing the Relationship Between Two Quantitative Variables

Representing Two Categorical Variables

Residuals

Statistics for Two Categorical Variables

Carrying Out a Chi-Square Test for Goodness of Fit

Carrying Out a Chi-Square Test for Homogeneity or Independence

Expected Counts in Two-Way Tables

Introducing Statistics: Are My Results Unexpected?

Setting Up a Chi-Square Goodness of Fit Test

Setting Up a Chi-Square Test for Homogeneity or Independence

Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data

Carrying Out a Test for the Difference of Two Population Proportions

Concluding a Test for a Population Proportion

Confidence Intervals for the Difference of Two Proportions

Constructing a Confidence Interval for a Population Proportion

Interpreting p-Values

Introducing Statistics: Why Be Normal?

Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions

Justifying a Claim Based on a Confidence Interval for a Population Proportion

Potential Errors When Performing Tests

Setting Up a Test for a Population Proportion

Setting Up a Test for the Difference of Two Population Proportions

Carrying Out a Test for a Population Mean

Carrying Out a Test for the Difference of Two Population Means

Confidence Intervals for the Difference of Two Means

Constructing a Confidence Interval for a Population Mean

Introducing Statistics: Should I Worry About Error?

Justifying a Claim About a Population Mean Based on a Confidence Interval

Justifying a Claim About the Difference of Two Means Based on a Confidence Interval

Setting Up a Test for a Population Mean

Setting Up a Test for the Difference of Two Population Means

Skills Focus: Selecting, Implementing, and Communicating Inference Procedures

Carrying Out a Test for the Slope of a Regression Model

Confidence Intervals for the Slope of a Regression Model

Introducing Statistics: Do Those Points Align

Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval

Setting Up a Test for the Slope of a Regression Model

Combining Random Variables

Conditional Probability

Estimating Probabilities Using Simulation

Independent Events and Unions of Events

Introducing Statistics: Random and Non-Random Patterns

Introduction to Probability

Introduction to Random Variables and Probability Distributions

Introduction to the Binomial Distribution

Mean and Standard Deviation of Random Variables

Mutually Exclusive Events

Parameters for a Binomial Distribution

The Geometric Distribution

Biased and Unbiased Point Estimates

Introducing Statistics: Why Is My Sample Not Like Yours?

Sampling Distributions for Differences in Sample Means

Sampling Distributions for Differences in Sample Proportions

Sampling Distributions for Sample Means

Sampling Distributions for Sample Proportions

The Central Limit Theorem

The Normal Distribution, Revisited