SOLUTION: Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more?

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Question 566408: Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more?
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t(115) = (115-100)/[15/sqrt(3)] = 1.7321
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P(x-bar >= 115)
= P(t >= 1.7321 when df = 2)
= tcdf(1.7321,100,2)
= 0.1127
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Cheers,
Stan H.
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