Assignment:
Question
A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours). In testing the hypotheses, H0: = 950 hours vs. H1: 950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.
a. Calculate beta, the probability of a Type II error when mu = 1000 and a = 0.10.
b. Calculate the power of the test when mu = 1000 and a = 0.10.
c. Interpret the meaning of the power of the test.
d. Review the results of the previous questions. What is the effect of increasing the sample size on the value of b?