The following data represent the pH of rain for a random sample of rain dates in Tucker County, West Virginia. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. In Problem 31 from Section 9.2, we found a 95% confidence interval for the mean pH of rainwater in Tucker County, West Virginia.

(a) Construct a 95% confidence interval for the mean pH of rainwater in Tucker County, West Virginia using a bootstrap sample with 1000 resamples. Compare the bootstrap confidence interval to the t-interval.
(b) Draw a histogram of the 1000 sample means. What is the shape of the histogram?

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4.58 5.19 5.05 4.80 4.77 4.77 5.72 4.75 4.74 4.76 4.56 5.02