Question: A normal shaped distribution has \(\mu \) = 80 and \(\sigma \) = 15.

a. Sketch the distribution of sample means for samples of n = 25 scores from this

population.

b. What are the z score values that form the boundaries for the middle 95% of the

distribution of sample means.

c. Compute the z score for M = 89 for a sample of n= 25 scores. Is this sample mean in

the middle 95% of the distribution?

d. Compute the z score for M = 84 for a sample of n = 25 scores. Is this sample mean in

the middle 95% of the distribution?