4.5.3. Conover (1971, p. 226) considered data on the physical fitness of male seniors in a particular high school. The seniors were divided into two groups based on whether they lived on a farm or in town. The results in Table 4.6 are from a physical fitness test administered to the students. High scores indicate that an individual is physically fit. Give a 95% confidence interval for the difference in mean fitness scores between the town and farm students. Test the hypothesis of no difference at the α = 0.10 level. Give a 99% confidence interval for the mean fitness of town boys.

Give a 99% prediction interval for a future fitness score for a farm boy.