Answer to Question #326015 in Statistics and Probability for Lyn slater

Question

If a population has a variance of 6.4, what is the variance of the sampling distribution of it's means? The sampling distribution has a sample size of 2 and all possible samples are drawn with replacement

Answer 1

The variance of the sampling distribution of sample means:

$\sigma^2_{\bar x}=\cfrac{\sigma^2}{n}=\cfrac{6.4}{2}=3.2.$