235 independent normal observations were collected from a population with known variance σ 2 = 15....
235 independent normal observations were collected from a population with known variance σ 2 = 15. Suppose that we want to perform a test of H0 : µ = 65 HA : µ > 65.
Calculate the size of the test that rejects the null hypothesis when ¯x > 65.33.
Calculate the power of the test from part (a) against the alternative that µ = 65.6.
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235 independent normal observations were collected from a
population with known variance σ 2 = 15....
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We are looking to calculate the power of a one-sided test from n independent observations xi from a N (µ, σ2 ) distribution with a null hypothesis of H0 : µ = µ0 and an alternative H1 : µ > µ0. Supposing that we know σ2, we can form a test statistic T = (x¯ − µ0)/(σ/√n) and reject the null hypothesis when T > 1.645. This test has level α = 0.05. We want a formula for the power...
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2. Suppose that we have 9 independent observations from a normal distribution with standard deviation 10....
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