52. We would like to obtain a 95% con dence interval for the population median weight gain using the data in Exercise 51.

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. For the weight gain data, state your preference between the median and the mean and explain your reasoning.