Question

construct a sampling distribution of the sample means such that the average number of mg of cholesterol in a cup of a certain brand of ice cream is 660mg and the standard deviation is 35mg

Answer 1

Solution:

Given, $\mu=660\ mg, \sigma=35\ mg$

Now sampling distribution for sample size $n$ :

$\mu_{\bar X}=\mu=660\ mg \\\sigma_{\bar X}=\dfrac{\sigma}{\sqrt n}=\dfrac{35}{\sqrt n}$