Consider the rivet holes from Exercise 8-35. If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit. Recall that n = 15 and s = 0.008 millimeters.
(a) Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeters? Use a = 0.01. State any necessary assumptions about the underlying distribution of the data.
(b) Find the P-value for this test.
(c) If is really as large as 0.0125 millimeters, what sample size will be required to defect this with power of at least 0.8?