Answer to Question #337539 in Statistics and Probability for Jen

Question

A population of values has a normal distribution with u = 91.9 and o = 38.4. A random sample of size n = 232 is drawn.

- What is the mean of the distribution of sample means? Ux=

-What is the standard deviation of the distribution of sample means? Round your answer to two decimal places. Ox=

Answer 1

1.

$$\mu_{\bar{x}}=\mu=91.9$$

2.

$$\sigma_{\bar{x}}=\dfrac{\sigma}{\sqrt{n}}=\dfrac{38.4}{\sqrt{232}}=2.52$$