Answer to Question #294158 in Statistics and Probability for Queen

Question

Describe the shape, the mean, and the standard deviation for each of the following two distributions.

a. A population of scores with µ = 50 and σ = 6.

b. The distribution of sample means based on samples of n = 36 selected from a population with µ = 50 and σ = 6.

Answer 1

a. Bell shaped with the mean $\mu=50$ and $\sigma=6$

b. Bell shaped with the mean $\mu=50$ and $\sigma=\frac{6}{\sqrt{36}}=1.$