Question: A variety of popular health books suggest that the readers assess their health, at least in part, by estimating their percentage of body fat. Then, they can compare their body fat to a standard set by the average body fat based on gender and age. The following measurements are percentages of body fat from a random sample of men aged 20 to 29. The data come from a larger dataset in the StatLib collection: lib.stat.cmu.edu/datasets/bodyfat.
a. Test the hypothesis that the mean body fat for males in this category is 12 at α = 0.05 level.
b. Calculate the 95% confidence limits on the body fat percentage of males in this age group.
c. How do the results of (b) relate to your decision in part (a)?