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STEP 1 Set Up Your Study Program 1

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

Background Information 3

Some Frequently Asked Questions About the AP Statistics Exam 4

2 How to Plan Your Time 10

Three Approaches to Preparing for the AP Statistics Exam 10

Calendar for Each Plan 12

STEP 2 Determine Your Test Readiness 15

3 Take a Diagnostic Exam 17

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

Tips for Free-Response Questions 47

Specific Statistics Content Tips 49

STEP 4 Review the Knowledge You Need to Score High 51

5 Overview of Statistics/Basic Vocabulary 53

Quantitative versus Qualitative Data 54

Descriptive versus Inferential Statistics 54

Collecting Data：Surveys,Experiments,Observational Studies 55

Random Variables 56

6 One-Variable Data Analysis 59

Graphical Analysis 60

Measures of Center 66

Measures of Spread 68

Position of a Term in a Distribution 71

Normal Distribution 74

Practice Problems 80

Cumulative Review Problems 85

Solutions to Practice Problems 86

Solutions to Cumulative Review Problems 91

7 Two-Variable Data Analysis 93

Scatterplots 93

Correlation 95

Lines of Best Fit 99

Residuals 102

Coefficient of Determination 104

Outliers and Influential Observations 105

Transformations to Achieve Linearity 106

Practice Problems 109

Cumulative Review Problems 115

Solutions to Practice Problems 116

Solutions to Cumulative Review Problems 119

8 Design of a Study：Sampling,Surveys,and Experiments 121

Samples 122

Sampling Bias 124

Experiments and Observational Studies 126

Practice Problems 132

Cumulative Review Problems 137

Solutions to Practice Problems 137

Solutions to Cumulative Review Problems 141

9 Probability and Random Variables 143

Probability 143

Random Variables 148

Normal Probabilities 152

Simulation and Random Number Generation 154

Transforming and Combining Random Variables 157

Rules for the Mean and Standard Deviation of Combined Random Variables 157

Practice Problems 159

Cumulative Review Problems 165

Solutions to Practice Problems 166

Solutions to Cumulative Review Problems 172

10 Binomial Distributions,Geometric Distributions and Sampling Distributions 174

Binomial Distributions 174

Normal Approximation to the Binomial 177

Geometric Distributions 179

Sampling Distributions 180

Sampling Distributions of a Sample Proportion 184

Practice Problems 186

Cumulative Review Problems 190

Solutions to Practice Problems 191

Solutions to Cumulative Review Problems 196

11 Confidence Intervals and Introduction to Inference 197

Estimation and Confidence Intervals 198

Confidence Intervals for Means and Proportions 201

Sample Size 206

Statistical Significance and P-Value 208

The Hypothesis-Testing Procedure 210

Type-Ⅰand Type-ⅡErrors and the Power of a Test 211

Practice Problems 215

Cumulative Review Problems 220

Solutions to Practice Problems 221

Solutions to Cumulative Review Problems 227

12 Inference for Means and Proportions 229

Significance Testing 230

Inference for a Single Population Mean 232

Inference for the Difference Between Two Population Means 235

Inference for a Single Population Proportion 237

Inference for the Difference Between Two Population Proportions 239

Practice Problems 243

Cumulative Review Problems 248

Solutions to Practice Problems 249

13 Inference for Regression 258

Simple Linear Regression 258

Inference for the Slope of a Regression Line 260

Confidence Interval for the Slope of a Regression Line 262

Inference for Regression Using Technology 264

Practice Problems 268

Cumulative Review Problems 272

Solutions to Practice Problems 273

Solutions to Cumulative Review Problems 277

14 Inference for Categorical Data：Chi-Square 279

Chi-Square Goodness-of-Fit Test 279

Inference for Two-Way Tables 284

Practice Problems 291

Cumulative Review Problems 296

Solutions to Practice Problems 296

Solutions to Cumulative Review Problems 300

STEP 5 Build Your Test-Taking Confidence 301

AP Statistics Practice Exam 1 305

AP Statistics Practice Exam 2 331

Appendixes 355

Formulas 356

Tables 358

Bibliography 362

Web Sites 363

Glossary 364