Question 336924: In testing the hypothesis,Ho:u >41 with line under it and Ho:u <41 , using the p-value approach, a p-value of 0.0359 was obtained. If σ = 9.2, find a sample mean which produced this p-value given that the sample of size n = 45 was randomly selected (show all work).
(Points :4)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In testing the hypothesis,
Ho:u >= 41
Ha:u < 41
Using the p-value approach, a p-value of 0.0359 was obtained.
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If σ = 9.2, find a sample mean which produced this p-value given that the sample of size n = 45 was randomly selected .
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Left-tail test with alpha = 9.2 and df = 44 implies the test
statistic was invT(0.0369 with df = 44) = -1.8315
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Using x-bar = zs+u, solve for x-bar.
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x-bar = -1.8315*9.2 + 41
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x-bar = 24.15
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Cheers,
Stan H.
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