Question: Suppose in testing ????0 ???? 10 versus ????A ???? > 10, the rejection region for a ???? = 0.05 level test is

Suppose in testing ????0 ∶ ???? ≤ 10 versus ????A ∶ ???? > 10, the rejection region for a

???? = 0.05 level test is “Reject ????0 when ???? > 18.6.”

(a) What is the chance of making a Type I error before the sample is actually selected?

(b) If the sample yields an estimate of ???? of ???? = 21.6, what is the testing decision about ????0 ∶ ???? ≤ 10 that should be made?

(c) If standard deviation of the population is actually 8, was a testing error made in part (b)? If so, what type of testing error was made?

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