54. We would like to obtain a 95% con dence interval for the population median temperature using the data in Exercise 53.

a. Obtain a bootstrap sample of 1000 medians.

b. Use the standard deviation for part

(a) to get a 95% con dence interval for the population median.

c. Investigate the distribution of the bootstrap medians and discuss the validity of part (b). Does the distribution take on just a few values?

d. Use part

(a) to form a 95% con dence interval for the median using the percentile method.

e. Compare all the intervals for the mean and median. Are they fairly similar? How do you explain that?