The amount of shaft wear after a fixed mileage was determined for each of seven randomly selected internal combustion engines, resulting in a mean of 0.0372 inch and a standard deviation of 0.0125 inch.
a. Assuming that the distribution of shaft wear is normal, test at level .05 the hypotheses H0: µ > .035 versus Ha: µ = .035.
b. Using σ = 0.0125, a = .05, and Appendix Table 5, what is the approximate value of b, the probability of a Type II error, when µ = .04?
c. What is the approximate power of the test when µ = .04 and a = .05?