sampling distribution

Question

A population of values has a normal distribution with μ=41.4 and σ=18.8. You intend to draw a random sample of size n=42.

What is the mean of the distribution of sample means?

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

(Report answer accurate to 2 decimal places.)

Answer 1

The mean of the distribution of sample means is the population mean (41.4).

The standard deviation of the distribution of sample means is the population standard deviation (18.8)/square root of the sample size(43) = 2.87.