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In each of the following situations, find the necessary sample size. a. In the Consolidated Power...

In each of the following situations, find the necessary sample size.

a. In the Consolidated Power hypothesis test of H0: μ ≤ 60 versus Ha: μ > 60, find the sample size needed to make the probability of a Type I error equal to .025 and the probability of a Type II error corresponding to the alternative value μa = 60.5 equal to .025. Here, assume σ equals 2.

n = ______

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Answer #1

a)

Hypothesized mean μo= 60
true mean μa= 60.5
std deviation σ= 2.0
0.025 level critical Z= 1.96
0.025 level critical Zβ= 1.96
n=(Zα/2+Zβ)2σ2/(μo-μa)2= 246
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