A statistics practitioner wants to test the following hypotheses with = 20 and n = 100:

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A statistics practitioner wants to test the following hypotheses with σ = 20 and n = 100:

H0: µ = 100

H1: µ > 100

a. Using α = .10 find the probability of a Type II error when µ = 102.

b. Repeat part (a) with α = .02.

c. Describe the effect on β of decreasing α


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