Answer to Question #325243 in Statistics and Probability for Samuel Pollentes

Question

If a population with size 3 has a standard deviation of 2.4, what is the standard 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

$\sigma_{\bar X}=\frac{2.4}{\sqrt{2}}=1.73.$