Answer to Question #324545 in Statistics and Probability for Mina

Question

The variance of a population is 3.26. If a sampling distribution of the sample mean is constructed from the population with a sample size of 3, what is the variance of the sampling distribution of the sample mean?

Answer 1

$\sigma_{\bar X}^2=\frac{\sigma^2}{n}=\frac{3.26}{3}=1.0867.$