Question 318401: 3. Suppose many samples of size 49 are selected from a population with mu = 250 and sigma = 25.
a. What value would you expect for the mean of your samples, (mu sub x-bar) ?
b. What value would you expect for the standard deviation of the samples, (sigma sub x-bar)?
c. What distribution shape would you expect for the x-bars?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose many samples of size 49 are selected from a population with mu = 250 and sigma = 25.
a. What value would you expect for the mean of your samples, (mu sub x-bar) ?
From the Central Limit Theorem: u(x-bar) = 250
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b. What value would you expect for the standard deviation of the samples, (sigma sub x-bar)?
From the Central Limit Theorem: s(x-bar) = 25/sqrt(49) = 25/7
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c. What distribution shape would you expect for the x-bars?
From the Central Limit Theorem: normal
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Cheers,
Stan H.
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