A sample of n = 36 scores is selected from a normal distribution with a mean of m = 65. If the sample mean is M = 59, then compute the z-score for the sample mean and determine whether the sample mean...

A sample of n = 36 scores is selected from a normal distribution with a mean of m = 65. If the sample mean is M = 59, then compute the z-score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for each of the following:

a. A population standard deviation of s = 12

b. A population standard deviation of s = 30