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StatisticsHardHypothesis Tests

Hypothesis Tests · Hard problem

Test H0H_0: μ=50\mu = 50 against HaH_a: μ>50\mu > 50 with σ=10\sigma = 10, n=25n = 25, α=0.025\alpha = 0.025 (z∗=1.96z^* = 1.96). Find the power of the test if in fact μ=55\mu = 55. Give your answer to four decimal places.