Question: 16.33 Confidence interval for the Normal data set. In Exercise 16.21 (page 16-22) you bootstrapped the mean of a simulated SRS from the standard Normal

16.33 Confidence interval for the Normal data set.

In Exercise 16.21 (page 16-22) you bootstrapped the mean of a simulated SRS from the standard Normal distribution N(0, 1) and found the standard t and bootstrap t 95% confidence intervals for the mean.

(a) Find the bootstrap percentile 95% confidence interval. Does this interval confirm that the t intervals are acceptable?

(b) We know that the population mean is 0. Do the confidence intervals capture this mean?

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