Question: Consider an ANOVA situation with a = 4 means 1 = 1, 2 = 5, 3 = 8, and 4 = 4. Suppose that 2

Consider an ANOVA situation with a = 4 means μ1 = 1, μ2 = 5, μ3 = 8, and μ4 = 4. Suppose that σ2 = 4, n = 4, and a = 0.05.
(a) Find the power of the ANOVA F-test.
(b) How large would the sample size have to be if we want the power of the F-test for detecting this difference in means to be at least 0.90?

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