11.88 For this exercise, use the dataset UCDavis2 on the companion website. In the survey, students reported ideal height

(IdealHt) and actual height (height).

a. For the men in the sample, calculate a 90% confidence interval to estimate the mean difference between ideal and actual height. Be certain to graphically analyze the data in order to verify necessary conditions.

b. Repeat part

(a) for the women in the sample.

c. Based on the intervals computed in parts

(a) and (b), is there a difference between men and women with regard to the mean difference between ideal and actual height?

Explain.

d. Define m1 to be the population mean difference (ideal height 2 actual height) for men, and define m2 to be the same for women. Find a 95% confidence interval for m1 2 m2. What does the result say about how men and women differ on the issue?