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Statistics

Posted on 2008-07-11 12:47 By Kechter (3)
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A population has a mean of 75 and a standard deviation equal to 21. Find the mean and standard deviation of a sampling distribution of a sample means with a sample size of 49.  

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alec's picture

Statistics in Maple

Comment on 2008-07-11 13:08 from alec (Maple Rating 4 1497) 
with(Statistics):
X:=RandomVariable(Normal(75,21)):
T:=Vector[row]([seq(Mean(Sample(X,49)),i=1..10000)]):
Mean(T);
                             74.96692326
StandardDeviation(T);
                             2.990235020

So my guess is that the mean is 75 and the standard deviation is 21/sqrt(49)=3.

Alec

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