Question 187217: In testing the hypothesis, H0:µ ≥ 28.7 and Ha: µ < 28.7, using the p-value approach, a p-value of 0.0764 was obtained. If α = 9.8, find the sample mean which produced this p-value given that the sample of size n = 40 was randomly selected
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In testing the hypothesis, Ho:µ ≥ 28.7 and Ha: µ < 28.7, using the p-value approach, a p-value of 0.0764 was obtained. If α = 9.8, find the sample mean which produced this p-value given that the sample of size n = 40 was randomly selected
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The z-value that corresponds to the p-value of 0.0764 when there is a left-
tail test is z = -1.4297
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To find the sample mean use z = (x-u)/s
-1.4297 = (28.7-u)/9.8
28.7-u = -14.0112
u = 42.71
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Cheers,
Stan H.
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