In the following, given α = 0.05 and σ = 1.0, determine the missing hypothesis test characteristic parameter for a two-sided, 1-sample z-test:
(i) Power = 0.9, sample size = 40; and Power = 0.9, sample size = 20.
(ii) Power = 0.75, sample size = 40; and Power = 0.75, sample size = 20.
(iii) Power = 0.9, hypothesized mean shift to be detected = 0.5, and Power = 0.9, hypothesized mean shift to be detected = 0.75.
(iv) Power = 0.75, hypothesized mean shift to be detected = 0.5, and Power = 0.75, hypothesized mean shift to be detected = 0.75.
(v) Hypothesized mean shift to be detected = 0.5, sample size = 40; and Hypothesized mean shift to be detected = 0.5, sample size = 20.
(vi) Hypothesized mean shift to be detected = 0.75, sample size = 40; and Hypoth- esized mean shift to be detected = 0.75, sample size = 20.