Music S.
asked • 03/16/22A random sample of size 50 is taken from a large population with mean μ=160 and standard deviation σ=18.
A random sample of size 50 is taken from a large population with mean μ=160 and standard deviation σ=18. What is the mean of the sampling distribution of the sample means? What is the standard error of the sampling distribution of the sample means?
is 160 and 2.54 the correct answer?
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1 Expert Answer
The mean of the sampling distribution of the sample means is simply the population mean or 160.
The standard error of the sampling distribution of the sample means is taken as the quotient of
the population standard deviation and the square root of the sample size or 18/√50 or 18/(5√2)
which goes to 2.545584412 equivalent to 2.55.
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Elaine C.
Yes it is correct, the standard error of the sample mean is the population standard deviation divided by the square root of the sample size03/16/22