60. Reconsider the paint-drying problem discussed in Example 9.2. The hypotheses were H0: m  75 versus Ha: m  75, with s assumed to have value 9.0.

Consider the alternative value m  74, which in the context of the problem would presumably not be a practically signi cant departure from H0.

a. For a level .01 test, compute b at this alternative for sample sizes n  100, 900, and 2500.

b. If the observed value of is , what can you say about the resulting P-value when n 

2500? Is the data statistically signi cant at any of the standard values of a?

c. Would you really want to use a sample size of 2500 along with a level .01 test (disregarding the cost of such an experiment)? Explain.