: Let X1, X2, . . . , Xn be a random sample from the normal...

: Let X1, X2, . . . , Xn be a random sample from the normal distribution N(µ, 25). To test the hypothesis H0 : µ = 40 against H1 : µne40, let us define the three critical regions: C1 = {x¯ : ¯x ≥ c1}, C2 = {x¯ : ¯x ≤ c2}, and C3 = {x¯ : |x¯ − 40| ≥ c3}. (a) If n = 12, find the values of c1, c2, c3 such that the size of each critical region is 0.10, that is, α = 0.10. (b) For a sample of size n = 12, calculate the power corresponding to each of the three critical regions assuming that alternative hypothesis was instead H1 : µ = 50.

Expert Solution

orchestra answered 2 years ago

. Let X1, X2, . . . , Xn be a random sample from a normal...

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