please help answer this question

Question

A population of values has a normal distribution with μ=165.6 and σ=84.7. You intend to draw a random sample of size n=59.

What is the mean of the distribution of sample means?

μ¯x=

What is the standard deviation of the distribution of sample means?

σ¯x= Round to 4 decimal places.

Answer 1

mu = the mean of the distribution of sample means = 165.6

The standard deviation of the distribution of sample means = sigma / n^1/2 = 84.7 / 59^1/2 = 11.0270