A population has a mean of 75 and a standard deviation of 27. Find the mean and standard deviation of a sampling distribution of sample means with sample size of 81.
Solution :
Given that,
mean =
= 75
standard deviation =
= 27
n = 81
The sampling distribution of sample means =
= 75
The sampling distribution standard deviation =
=
/
n
= 27
81
= 3
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