Elementary Statistics

CONTENTS vii Normal Probability Distributions 232 Where You’ve Been Where You’re Going 233 5.1 Introduction to Normal Distributions and the Standard Normal Distribution 234 5.2 Normal Distributions: Finding Probabilities 246 5.3 Normal Distributions: Finding Values 252 Case Study: Birth Weights in America 260 5.4 Sampling Distributions and the Central Limit Theorem 261 Activity: Sampling Distributions 274 5.5 Normal Approximations to Binomial Distributions 275 Uses and Abuses: Statistics in the Real World 284 Chapter Summary 285 Review Exercises 286 Chapter Quiz 290 Chapter Test 291 Real Statistics—Real Decisions: Putting it all together 292 Technology: Age Distribution in California 293 Cumulative Review: Chapters 3–5 294 5 PART 3 STATISTICAL INFERENCE Confidence Intervals 296 Where You’ve Been Where You’re Going 297 6.1 Confidence Intervals for the Mean (S Known) 298 6.2 Confidence Intervals for the Mean (S Unknown) 310 Activity: Confidence Intervals for a Mean 318 Case Study: Marathon Training 319 6.3 Confidence Intervals for Population Proportions 320 Activity: Confidence Intervals for a Proportion 329 6.4 Confidence Intervals for Variance and Standard Deviation 330 Uses and Abuses: Statistics in the Real World 336 Chapter Summary 337 Review Exercises 338 Chapter Quiz 340 Chapter Test 341 Real Statistics—Real Decisions: Putting it all together 342 Technology: United States Foreign Policy Polls 343 UsingTechnology to Construct Confidence Intervals 344 6

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