21. Power of a Test The procedure for finding the power in a hypothesis test involving a proportion is given in Exercise 47 from Section 8-2. Use the same procedure to find the power of a hypothesis test of the claim that m . 100, given a sample of size 40, a known population standard deviation of 15, and given that the population mean is actually 108. (Hint: In Step 2 of the procedure, use the test statistic given in this section instead of the test statistic used for a proportion and, in Step 4 of the procedure, use m 5 108.) What does the value of the power indicate about the effectiveness of the test to recognize that the mean is greater than 100 when the mean is actually 108?

Also find

b, the probability of a type II error.\