SOLUTION: In testing the hypothesis, H0:mu > 41 and Ha: mu <41 , using the p-value - approach, a p-value of 0.0359 was obtained. If sigma = 9.

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Question 266121:
In testing the hypothesis, H0:mu > 41 and Ha: mu <41 , using the p-value
-
approach, a p-value of 0.0359 was obtained. If sigma = 9.2, find a sample mean which produced this p-value given that the sample of size n = 45 was randomly selected (Please show all work).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In testing the hypothesis,
H0:mu > 41 and Ha: mu <41 ,
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Note: For your information, Ho MUST ALWAYS INCLUDE EQUALITY.
It might also include > or < but it must include equality.
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using the p-value approach, a p-value of 0.0359 was obtained.
If sigma = 9.2, find a sample mean which produced this p-value given that the sample of size n = 45 was randomly selected (Please show all work).
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p-value = P(t < ? when df=44) = 0.0359
? = invT(0.0359,44) = -1.8448..
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Cheers,
Stan H.