Question

If the population standard deviation is 4.2, what is the standard deviation of the sampling of the distribution of its means if the sampling distribution was derived with sample size n=4 and all possible samples were drawn with replacements?

Answer 1

The standard deviation of the sampling of the distribution of the sample means:

$\sigma_{\bar x}=\cfrac{\sigma}{\sqrt n}=\cfrac{4.2}{\sqrt 4}=2.1.$