# 5 Steps to a 5: AP Statistics 2019

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## Overview

A PERFECT PLAN FOR THE PERFECT SCORE
Score-Raising Features Include:
•6 full-length practice exams, 3 in the book + 3 on Cross-Platform
•Hundreds of exercises with thorough answer explanations
•Comprehensive overview of the AP Statistics exam format
•Practice questions that reflect both multiple-choice and free-response question types, just like the ones you will see on test day
•Proven strategies specific to each section of the test
BONUS Cross-Platform Prep Course for extra practice exams with personalized study plans, interactive tests, powerful analytics and progress charts, flashcards, games, and more! (see inside front and back covers for details)
The 5-Step Plan:
Step 1: Set up your study plan with three model schedules
Step 3: Develop the strategies that will give you the edge on test day
Step 4: Review the terms and concepts you need to achieve your highest score
Step 5: Build your confidence with full-length practice exams

## Product Details

ISBN-13: 9781260123241 McGraw-Hill Professional Publishing 07/16/2018 384 164,168 8.40(w) x 10.60(h) x 0.80(d)

Corey Andreasen teaches mathematics and AP Statistics at Sheboygan North High School in Sheboygan, Wisconsin.

Duane C. Hinders teaches statistics at Foothill College in Los Altos Hills, CA. He has taught AP Statistics and has been a grader for the AP Statistics exam.

DeAnna Krause McDonald teaches mathematics and AP Statistics at University High School in Tucson, Arizona.

Preface ix

Acknowledgments xi

Introduction: The Five-Step Program xv

Step 1 Set Up Your Study Program 1

1 What You Need to Know About the AP Statistics Exam 3

Background Information 3

2 How to Plan Your Time 10

Three Approaches to Preparing for the AP Statistics Exam 10

Calendar for Each Plan 12

3 Take a Diagnostic Exam 17

AP Statistics Diagnostic Test 21

Interpretation: How Ready Are You? 41

Section I Multiple-Choice Questions 41

Section II Free-Response Questions 41

Composite Score 41

Step 3 Develop Strategies for Success 43

4 Tips for Taking the Exam 45

General Test-Taking Tips 46

Tips for Multiple-Choice Questions 46

Specific Statistics Content Tips 49

Step 4 Review the Knowledge You Need to Score High 51

5 One-Variable Data Analysis 53

Descriptive versus Inferential Statistics 54

Parameters versus Statistics 54

Quantitative versus Categorical (Qualitative) Data 54

Graphical Analysis 55

Measures of Center 61

Position of a Term in a Distribution 66

Normal Distribution 68

Rapid Review 72

Practice Problems 73

Cumulative Review Problems 79

Solutions to Practice Problems 79

Solutions to Cumulative Review Problems 84

6 Two-Variable Data Analysis 86

Scatterplots 86

Correlation 88

Linear Models 92

Residuals 95

Coefficient of Determination 97

Outliers and Influential Observations 98

Transformations to Achieve Linearity 99

Rapid Review 101

Practice Problems 102

Cumulative Review Problems 108

Solutions to Practice Problems 109

Solutions to Cumulative Review Problems 112

7 Design of a Study: Sampling, Surveys, and Experiments 114

Samples 115

Sampling Bias 117

Experiments and Observational Studies 119

Rapid Review 124

Practice Problems 125

Cumulative Review Problems 130

Solutions to Practice Problems 130

Solutions to Cumulative Review Problems 134

8 Probability and Random Variables 136

Probability 136

Random Variables 142

Normal Probabilities 146

Simulation and Random Number Generation 148

Transforming and Combining Random Variables 150

Rules for the Mean and Standard Deviation of Combined Random Variables 151

Rapid Review 152

Practice Problems 153

Cumulative Review Problems 159

Solutions to Practice Problems 160

Solutions to Cumulative Review Problems 166

9 Binomial Distributions, Geometric Distributions, and Sampling Distributions 167

Binomial Distributions 167

Normal Approximation to the Binomial 170

Geometric Distributions 172

Sampling Distributions 173

Sampling Distributions of a Sample Proportion 177

Rapid Review 178

Practice Problems 179

Cumulative Review Problems 183

Solutions to Practice Problems 184

Solutions to Cumulative Review Problems 189

10 Inference: Estimating with Confidence Intervals 190

Estimation and Confidence Intervals 191

Formula for a Confidence Interval for a Proportion 193

Conditions for a Confidence Interval for a Proportion 193

Construct and Interpret a Confidence Interval for a Proportion 194

Confidence Level as a Capture Rate 195

Sample Size 203

Rapid Review 205

Practice Problems 207

Cumulative Review Problems 213

Solutions to Practice Problems 213

Solutions to Cumulative Review Problems 218

11 Inference: Testing Hypotheses 220

Statistical Significance and P-Value 221

The Hypothesis-Testing Procedure 222

Recap of Hypothesis (Significance) Testing 224

Inference for a Single Population Proportion 225

Type I and Type II Errors and the Power of a Test 227

Inference for the Difference Between Two Population Proportions 230

z-Procedures versus t-Procedures 231

Inference for a Single Population Mean 232

Inference for the Difference Between Two Population Means 235

Rapid Review 237

Practice Problems 240

Cumulative Review Problems 246

Solutions to Practice Problems 246

Solutions to Cumulative Review Problems 253

12 Inference for Regression 255

Simple Linear Regression 255

Inference for the Slope of a Regression Line 257

Confidence Interval for the Slope of a Regression Line 260

Inference for Regression Using Technology 261

Rapid Review 262

Practice Problems 264

Cumulative Review Problems 267

Solutions to Practice Problems 268

Solutions to Cumulative Review Problems 271

13 Inference for Categorical Data: Chi-Squared Tests 273

Chi-Square Goodness-of-Fit Test 273

Inference for Two-Way Tables 278

Rapid Review 284

Practice Problems 285

Cumulative Review Problems 290

Solutions to Practice Problems 290

Solutions to Cumulative Review Problems 294

Step 5 Build Your Test-Taking Confidence 295

AP Statistics Practice Test 1 299

AP Statistics Practice Test 2 323

Appendixes 343

Formulas 345

Tables 347

Bibliography 351

Websites 353

Glossary 355

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