Answer to Question #341560 in Statistics and Probability for quuee

Question

A population has mean 73.5 and standard deviation 2.5. Find the mean and standard deviation of X ̅ for samples of size 30.

Answer 1

$$\mu_{\bar{X}}=\mu=73.5$$

$$\sigma_{\bar{X}}=\dfrac{\sigma}{\sqrt{n}}=\dfrac{2.5}{\sqrt{30}}\approx0.4564$$