SOLUTION: for a normal population with mu = 70 and standard deviation = 12 what is the probability of obtaining a sample mean greater than 73 and less than 75 for a sample of n=36

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Question 317777: for a normal population with mu = 70 and standard deviation = 12 what is the probability of obtaining a sample mean greater than 73 and less than 75 for a sample of n=36
Answer by stanbon(75887) About Me  (Show Source):
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for a normal population with mu = 70 and standard deviation = 12 what is the probability of obtaining a sample mean greater than 73 and less than 75 for a sample of n=36
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All samples of size 36 have a mean of 70 and std of 12/sqrt(36) = 2
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t(73)=(73-70)/2 = 1.5
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t(75)=(75-70)/2 = 2.5
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P(73< x <75) = P(1.5< t <2.5 with df=35) = tcdf(1.5,2.5,35) = 0.0627
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Cheers,
Stan H.
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