Suppose that X is the height, in inches, of a population consisting of male basketball players, and you are interested in testing H0‘-n < 75 against Hx:n> 75.

Assume that X is normally distributed with a variance of 9. A sample of size 100 is to be drawn from the population. If a = .05, what is the critical value of Ml What is the power of this test if the true value of /x is equal to 75.5? If the true value of n is equal to 76? Draw the power curve for this test.