Answer to Question #191317 in Statistics and Probability for mae

Question

If a population with size 3 has a standard deviation of 2.4, what is thestandard deviation of the sampling distribution of its means? The sampling distribution has a sample size of 2 and all possible samples are drawn without replacements. 

Answer 1

We have given,

$n = 3$

$\sigma = 2.4$

$\sigma_{\bar x} = \dfrac{\sigma}{\sqrt{n}}$

$\sigma_{\bar x} = \dfrac{2.4}{\sqrt{3}}$

$\sigma_{\bar x} = 1.38$