A population has a mean muμequals=7575 and a standard deviation sigmaσequals=2424. Find the mean and standard deviation of a sampling distribution of sample means with sample size nequals=3636. mu Subscript x overbarμxequals=nothing (Simplify your answer.) sigma Subscript x overbarσxequals=nothing (Simplify your answer.)
Solution :
Given that,
mean =
= 75
standard deviation =
= 24
n = 36
The mean and standard deviation of a sampling distribution of sample means is
=
= 75
=
/
n = 24 /
36 = 4
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