Suppose that in Exercise 9-73, the experimenter had believed that = 14. For each of the following

Suppose that in Exercise 9-73, the experimenter had believed that σ = 14. For each of the following sample sizes, and a fixed σ = 0.05, find the probability of a type II error if the true mean is 205 milliliters per hour. (a) n = 20
(b) n = 50
(c) n = 100
(d) Comparing your answers to those in Exercise 9-73, does the probability of a type II error increase or decrease with the increase in standard deviation?
Explain your answer.