18. Reconsider the paint-drying situation of Example 8.2, in which drying time for a test specimen is

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18. Reconsider the paint-drying situation of Example 8.2, in which drying time for a test specimen is normally distributed with  9. The hypotheses H0:  75 versus Ha:  75 are to be tested using a random sample of n  25 observations.

a. How many standard deviations (of X) below the null value is x  72.3?

b. If x

 72.3, what is the conclusion using   .01?

c. What is  for the test procedure that rejects H0 when z  2.88?

d. For the test procedure of part (c), what is (70)?

e. If the test procedure of part

(c) is used, what n is necessary to ensure that (70)  .01?

f. If a level .01 test is used with n  100, what is the probability of a type I error when  76?

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