Let denote P (Type II error). For an = 0.01- level test of H0: = 0 against Ha: > 0 with

Let β denote P (Type II error). For an α = 0.01-

level test of H0: μ = 0 against Ha: μ > 0 with n = 50 observations, β = 0.57 at μ = 6. Then,

(a) At μ = 6,β > 0.57.

(b) If n = 80, then at μ = 6,β > 0.57.

(c) If α = 0.01, then at μ = 6,β > 0.57

(d) The power of the test is 0.43 at μ = 6.

(e)

(d) must be false, because necessarily α + β = 1.