Answer to Question #331803 in Statistics and Probability for thea

Question

mathematics written work are normally distributed with a mean of 23 and standard deviation of 9. describe the sampling distribution of 15 students who are normally from this population

Answer 1

$\mu_{\bar X}=\mu=23.$

$\sigma_{\bar X}=\frac{\sigma}{\sqrt{n}}=\frac{9}{\sqrt{15}}=2.32.$