12-30. Suppose X is N(, 20) and that, for 0.05 and 0.05, we...

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12-30. Suppose X is N(μ, 20) and that, for α ≤ 0.05 and β ≤ 0.05, we want to test H0 : μ = μ0 = 76, against H1 : μ > 76. How large of a sample will be needed if μ1 = 80? How large of a sample would be required if the alternative hypothesis is replaced by H1 : μ = 76.

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