Chapter 7 review

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Chapter 7 review

  1. 1. CHAPTER 7: ESTIMATIONREVIEW
  2. 2. Estimation
  3. 3. Point Estimate
  4. 4. Confidence Intervals
  5. 5. Page338 Confidence Interval for μ when σ is Known
  6. 6. How To Construct a ConfidenceInterval for μ when σ is Known
  7. 7. Confidence Interval for μ when σ is Unknown Page 350 Requirements Let x be a random variable appropriate to your application. Obtain a simple random sample (of size n) of x values from which you compute the sample mean and the sample standard deviation s. If you can assume that x has a normal distribution or is mound- shaped, then any sample size n will work. If you cannot assume this, then use a sample size of n ≥ 30. Confidence Interval for μ when σ is unknown where = sample mean of a simple random sample = confidence level (0 < c < 1) = critical value d.f. = n – 1
  8. 8. How To Construct a ConfidenceInterval1. Check Requirements  Simple random sample?  Assumption of normality?  Sample size?  Sample mean?  Sample standard deviation s?2. Compute E3. Construct the interval using
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  11. 11. Confidence Intervals for thedifference between two populationparameters There are several types of confidence intervals for the difference between two population parameters  Confidence Intervals for 1 – 2 (1 and 2 known)  Confidence Intervals for 1 – 2 (1 and 2 Are Unknown)  Confidence Intervals for 1 – 2 (1 = 2)  Confidence Intervals for p1 – p2
  12. 12. How to Interpret Confidence Intervals for Differences
  13. 13. Confidence Intervals for 1 – 2 (1 and 2 known)
  14. 14. Confidence Intervals for 1 – 2 (1 and 2 known)
  15. 15. How to construct the confidenceinterval for 1 – 2 (1 and 2known)
  16. 16. Confidence Intervals for 1 – 2(1 and 2 Are Unknown)
  17. 17. Confidence Intervals for 1 – 2(1 and 2 Are Unknown)
  18. 18. How to construct the confidenceinterval for 1 – 2 (1 and 2unknown)
  19. 19. Estimating the Difference of Proportions p1 – p2 Requirements Consider two independent binomialexperiments
  20. 20. Estimating the Difference of Proportions p1 – p2
  21. 21. How to construct the confidenceinterval for p1 – p2
  22. 22. Page342 How to Find the Sample Size n for Estimating μ when is σ known 
  23. 23. Page 366 

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