Answer to Question #314876 in Statistics and Probability for joy

Question

if a population with size of 4 has a variance of 6.8 what is the variance of the sampling distributionof its means? the sampling distribution has a sample size of 3 and all possible samples are drawn without replacement

Answer 1

$\sigma_x^2=\frac{\sigma^2}{n} =\frac{6.8}{3} =2.67$