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Barron’s Essential 5
Introduction

PART ONE: DIAGNOSTIC TEST
Diagnostic Test
Answer Key
Answers and Explanations
AP Score for the Diagnostic Test
Study Guide for the Diagnostic Test Multiple-Choice Questions

PART TWO: UNITS REVIEW
UNIT 1. Exploring One-Variable Data
Categorical Variables
Representing a Quantitative Variable with Tables and Graphs
Describing the Distribution of a Quantitative Variable
Quiz 1
Quiz 2
Summary Statistics for a Quantitative Variable
Graphical Representations of Summary Statistics
Comparing Distributions of a Quantitative Variable
Quiz 3
Quiz 4
The Normal Distribution
Quiz 5
Summary
UNIT 2. Exploring Two-Variable Data
Two Categorical Variables
Quiz 6
Quiz 7
Two Quantitative Variables
Correlation
Least Squares Regression
Residuals
Outliers, Influential Points, and Leverage
More on Regression
Transformations to Achieve Linearity
Quiz 8
Quiz 9
Summary
UNIT 3: Collecting Data
Retrospective Versus Prospective Observational Studies
Bias
Sampling Methods
Sampling Variability
Quiz 10
Quiz 11
Experiments Versus Observational Studies
The Language of Experiments
Replication and Generalizability of Results
Inference and Experiments
Quiz 12
Quiz 13
Summary
UNIT 4. Probability, Random Variables, and Probability Distributions
The Law of Large Numbers
Basic Probability Rules
Multistage Probability Calculations
Quiz 14
Quiz 15
Random Variables, Means (Expected Values), and Standard Deviations
Means and Standard Deviations for Sums and Differences of Sets
Means and Standard Deviations for Sums and Differences of Random Variables
Transforming Random Variables
Quiz 16
Quiz 17
Binomial Distribution
Geometric Distribution
Quiz 18
Quiz 19
Cumulative Probability Distribution
Summary
UNIT 5. Sampling Distributions
Normal Distribution Calculations
Quiz 20
Quiz 21
Central Limit Theorem
Biased and Unbiased Estimators
Sampling Distribution for Sample Proportions
Sampling Distribution for Differences in Sample Proportions
Sampling Distribution for Sample Means
Sampling Distribution for Differences in Sample Means
Simulation of a Sampling Distribution
Quiz 22
Quiz 23
Summary
UNIT 6. Inference for Categorical Data: Proportions
The Meaning of a Confidence Interval
Conditions for Inference
Confidence Interval for a Proportion
Logic of Significance Testing
Hypothesis Test for a Proportion
Confidence Interval for the Difference of Two Proportions
Hypothesis Test for the Difference of Two Proportions
Quiz 24
Quiz 25
Summary
UNIT 7. Inference for Quantitative Data: Means
The t-Distribution
Confidence Interval for a Mean
Hypothesis Test for a Mean
Confidence Interval for the Difference of Two Means
Hypothesis Test for the Difference of Two Means
Paired Data
Quiz 26
Quiz 27
Simulations and P-Values
Quiz 28
More on Power and Type II Errors
Confidence Intervals Versus Hypothesis Tests
Summary
UNIT 8. Inference for Categorical Data: Chi-Square
Chi-Square Test for Goodness-of-Fit
Chi-Square Test for Independence
Chi-Square Test for Homogeneity
Quiz 29
Quiz 30
Summary
UNIT 9. Inference for Quantitative Data: Slopes
Confidence Interval for the Slope of a Least Squares Regression Line
Hypothesis Test for Slope of Least Squares Regression Line
Quiz 31
Quiz 32
Summary

PART THREE: FINAL REVIEW
Final Review
Selecting an Appropriate Inference Procedure
Quiz 33
Quiz 34
Statistical Insights into Social Issues
Quiz 35
Quiz 36
The Investigative Task: Free Response Question 6
Quiz 37
50 Misconceptions
50 Common Errors on the AP Exam
50 AP Exam Hints, Advice, and Reminders

PART FOUR: PRACTICE TESTS
Practice Test 1
Answer Key
Answers and Explanations
Practice Test 2
Answer Key
Answers and Explanations
Practice Test 3
Answer Key
Answers and Explanations
Practice Test 4
Answer Key
Answers and Explanations
Practice Test 5
Answer Key
Answers and Explanations

PART FIVE: APPENDICES
Formulas
Graphical Displays
Checking Assumptions for Inference
Simulation for Probability
Independence
More on Residuals
Answers and Explanations for Quizzes 1?37
AP Scoring Guide
Basic Uses of the TI-84
Basic Uses of the TI-Nspire
Basic Uses of the Casio Prizm
Basic Uses of the HP Prime
Table A: Standard Normal Probabilities
Table B: t-Distribution Critical Values
Table C: χ2 Critical Values