12-27. Given that X is N(, 10), the null hypothesis is H0 : = 0 =...

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12-27. Given that X is N(μ, 10), the null hypothesis is H0 : μ = μ0 = 27, the alternative hypothesis is H1 : μ < 27, and n = 50, what is the distribution of X? For α = 0.05, find R and R . Suppose the true mean is μ = μ1 = 18.

What is the probability (β) of not rejecting H0 when the true mean is 18?

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