Refer to the data set gravity.csv.

a. Generate 1000 bootstrap samples from these data. Find the 2.5 and 97.5 percentiles.

b. Compute a \(95 \%\) bootstrap confidence interval for the mean, using method 1 as described on page 395 .

c. Compute a \(95 \%\) bootstrap confidence interval for the mean, using method 2 as described on page 395 .

Gravity Data Set:

This data set contains 200 measurements of the acceleration due to gravity made in a certain location. The data set contains deviations of the measurements from a base value of approximately \(9.8 \mathrm{~m} / \mathrm{s}^{2}\), in units of \(10^{-8} \mathrm{~m} / \mathrm{s}^{2}\). There is only one variable in this data set:

Gravity Acceleration due to gravity, expressed as the deviation from base value in units of \(10^{-8} \mathrm{~m} / \mathrm{s}^{2}\)