A normal shaped distribution has μ= 80 and σ = 15.
a. Sketch the distribution of sample means for sample of n = 25 scores from this population.
b. What are the Z score values that form the bounded areas 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?