Answer the following questions for the tire problem in Example 8.7. a. If = 30. 960and...

Answer the following questions for the tire problem in Example 8.7.

a. If = 30. 960and a level α = .01test is used, what is the decision?

b. If a level .01 test is used, what is β(30,500)?

c. If a level .01 test is used and it is also required that β(30,500) =.05, what sample size n is necessary?

d. If = 30,960 what is the smallest a at which H0 can be rejected (based on n = 16)?