SOLUTION: for a normal population with a mean (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 sc

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Question 318052: for a normal population with a mean (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 scores
Answer by stanbon(75887) About Me  (Show Source):
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For a normal population with a mean (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 scores
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mean of the sample means = 70
std of the sample means = 12/sqrt(36) = 2
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t(73) = (73-70)/2 = 1.5
t(75) = (75-70)/2 = 2.5
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P(73 < x-bar < 75) = P(1.5 < t < 2.5 with df = 35) = 0.0627
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Cheers,
Stan H.
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