Refer to Exercise 26.

a. Generate 10,000 bootstrap samples from the data in Exercise 26. Find the bootstrap sample mean percentiles that are used to compute a 99% confidence interval.

b. Compute a 99% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 390.

c. Compute a 99% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 390.

Solution

Step 1 of 3

a) We have to find the 99% confidence interval

From the given data mean

And the standard deviation =114.93

After generating the bootstrap sample

The 99% confidence interval is

(, )=(

=

= (1270.15, 1495.155)

Hence the 99% confidence interval is (1270.15, 1495.155)