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14 How to Tell If You Might—or Might Not— Need to Start That Diet: The Normal Distribution

  • Mark Prell

Chapters in this book

  1. Frontmatter i
  2. Contents vii
  3. Introduction: Seeking Certainty in an Uncertain World 1
  4. Part I Descriptive Statistics and Core Concepts
  5. 1 How to Weave the Two Strands of Statistics: Data Quality and Analysis 7
  6. 2 How to Decide How Fast to Drive: Measures of Location and Dispersion 31
  7. 3 How to Measure the Mortality of COVID-19: Empirical Probability and Counterfactuals 52
  8. 4 How to Convince the Queen That British Soldiers Are Dying Needlessly: Empirical Distributions and Data Visualization 69
  9. 5 How Not to Be Misled by Medical Studies or Retirement Planning: Weighted Means, Simpson’s Paradox, and Standardization 92
  10. 6 How to Win a Nobel Prize by Eating Chocolate: Correlation and Regression 114
  11. Part II Probability: Meaning, Rules, and Uses
  12. 7 How to Win Dumb Bar Bets and Make Smart Bets Against Nature: Probability and Its Meaning 143
  13. 8 How to Catch a Killer and Kill a Theory: Three Rules of Probability 163
  14. 9 How to Elicit Truth from People Inclined to Lie: Conditional Probability 184
  15. 10 How to Find a Lost Nuclear Submarine: Bayes’ Theorem 202
  16. Part III Probability Distributions: The Workhorses of Statistics
  17. 11 How to Achieve Fairness in the US Draft Lottery: The Uniform Distribution 227
  18. 12 How to Win Free Coffee in Canada: The Binomial Distribution 246
  19. 13 How to Save Holland from the Sea: The Geometric and Exponential Distributions 261
  20. 14 How to Tell If You Might—or Might Not— Need to Start That Diet: The Normal Distribution 276
  21. Part IV Inferential Statistics: Confidence Intervals and the Testing of Hypotheses
  22. 15 How to Brew Better Beer: The Sampling Distribution 301
  23. 16 How to Measure the Speed of Light Using a Microwave Oven: Confidence Intervals 324
  24. 17 How to Grow Frankenstein Barley: Testing a Difference of Means 341
  25. 18 How to Test Whether Salk’s Polio Vaccine Is Effective: Experimental Design and Testing a Difference of Two Proportions 363
  26. 19 How to Pick Cherry Blossom Data and Not Cherry- Pick Blossom Data: Forecasting and Hypothesis Testing Using Regression 387
  27. Epilogue: How to Build a Community of Truthfulness and Respect 411
  28. Appendix to Chapter 10: The Formula for Bayes’ Theorem 421
  29. Appendix to Chapter 12: The Equation for the Binomial Distribution 423
  30. Appendix to Chapter 19: Background on Ordinary Least Squares and Serial Correlation 424
  31. Appendix to Epilogue: Selections from the 2022 Ethical Guidelines for Statistical Practice of the American Statistical Association 430
  32. Notes 433
  33. Acknowledgments 469
  34. Index 471
What Are the Odds?
This chapter is in the book What Are the Odds?
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