The mean of a population of raw scores is 60 with a standard deviation of 16. Your sample mean = 64 and N=40. Use the .05 criterion with TWO TAILS to decide if this sample represents the population.

a) Draw the sampling distribution with the critical value(s) clearly identified. Shade the appropriate area.

b) Compute the z-score for the sample mean (show your work).

c) Compare the sample's z-score to the critical value(s) and state your conclusion (two choices: either reject that the sample represents the underlying raw score population or do not reject that the sample represents the underlying raw score population).