SOLUTION: Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is d) There is a 65% chance that X bar is above wh

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Question 418778: Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is
d) There is a 65% chance that X bar is above what value?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given a normal distribution with µ = 103 and σ = 20, if you select a sample of n = 25, what is the probability that X bar is
d) There is a 65% chance that X bar is above what value?
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Find the t-value with a left-tail of 65%
invT(0.65 when df = 24) = 0.3900
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Find the corresponding x-bar using x-bar = ts+u
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x-bar = 0.3900 + 103 = 104.56
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Cheers,
Stan H.
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