A population has a mean muμequals=75 and a standard deviation sigmaσequals=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size nequals=64.
μx=__
(Simplify your answer.)
σx=___
(Simplify your answer.)
We are given = 75 and σ = 24 , n
= 64
According to sampling distribution of sample mean () ,
follows
approximately normal distribution with mean
=
and standard deviation σ =
σ /
Therefore
=
75 and
σ =
24 /
=
24/8
σ =
3
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