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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.

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