Question 127322: Suppose that X has a distribution with m=72 and s=8 (greek symbols)
if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?
if the original x distrubution is normal can we say anything about the x distribution of random samples of size 16? Find P(68
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that X has a distribution with m=72 and s=8 (greek symbols)
if random samples of size n=16 are selected, can we say anything about the x distribution of sample means?
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According to the Central Limit Theorem the mean of the sample means equals
the population mean which is 72, and the standard deviation of the sample
means is 8/sqrt4) = 2 .
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if the original x distrubution is normal can we say anything about the x distribution of random samples of size 16?
The sample means are normally distributed.
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Find P(68
Question: Does "x" refer to population data or sample means?
In either case, find the z-values for 68 and 73; then find
The probability z lies between those two z-values.
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Cheers,
Stan H.
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