Question: 16.42 Bootstrap confidence intervals for the standard deviation. We would like a 95% confidence interval for the standard deviation of 150 GPAs. In Exercise

16.42 Bootstrap confidence intervals for the standard deviation. We would like a 95% confidence interval for the standard deviation

σ of 150 GPAs. In Exercise 16.23 (page 16-22), we considered the bootstrap t interval. Now we have a more accurate method. Bootstrap s and report all three 95% bootstrap confidence intervals: t, percentile, and BCa.

Make a graphical comparison by drawing a vertical line at the original s and displaying the three intervals vertically, one above the other. Discuss what you see: Do bootstrap t and percentile agree? Does the more accurate interval agree with the two simpler methods? What interval would you use in a report on GPAs at this college?

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