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