14. For the population of adult males in the United States, the distribution of weights is approximately normal with mean Jl = 172.2 pounds and standard deviation a= 29.8 pounds [10].

(a) Describe the distribution of means of samples of size 25 that are drawn from this population.

(b) What is the upper bound for 90% of the mean weights of samples of size 25?

(c) What is the lower bound for 80% of the mean weights?

(d) Suppose that you select a single random sample of size 25 and find that the mean weight for the men in the sample is x = 190 pounds. How likely is this result? What would you conclude?