A test was made of the hypotheses H0 : = 15 versus H1: > 15.

A test was made of the hypotheses H0 : μ = 15 versus H1: μ > 15.

Four statisticians wrote summaries of the results. For each summary, state whether it contains enough information. If there is not enough information, indicate what needs to be added.

a. The P-value was 0.02, so we reject H0 at the α = 0.05 level.

b. The critical value was 1.645. Because z > 1.645, we reject H0 at the α = 0.05 level.

c. The critical value was 1.645. Because z = 2.05, we reject H0 at the α = 0.05 level.

d. Because P < 0.05, we reject H0 at the α = 0.05 level.