Suppose X1, , Xn is a random sample from a normal distribution with a known variance of 2 and an unknown mean of Find the most powerful a level test of H0 0 versus Ha a if (a) 0 a, (b) a 0

Question: Suppose X1, . . ., Xn is a random sample from a normal distribution with a known variance of 2 and an unknown mean of

Suppose X1, . . ., Xn is a random sample from a normal with a known variance of σ2 and an unknown mean of μ. Find the most powerful a-level test of H0: μ = μ0 versus Ha: μ = μa if (a) μ0 > μa,
(b) μa > μ0.

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