Let denote P(Type II error). For an = 0.05-level test of H0: = 0

Let β denote P(Type II error). For an α = 0.05-level test of H0: μ = 0 against Ha: μ > 0 with n = 30 observations,

β = 0.36 at μ = 4. Then,

(a) At μ = 5,β > 0.36.

(b) If α = 0.01, then at μ = 4,β > 0.36.

(c) If n = 50, then at μ = 4,β > 0.36.

(d) The power of the test is 0.64 at μ = 4.

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