Data from a psychology experiment were reported and analyzed in The American Statistician (May 2001). Each student completed a questionnaire from which a "fear of negative evaluation" (FNE) score was produced. (The higher the score, the greater was the fear of negative evaluation.) Suppose the FNE scores of bulimic students have a distribution with mean ? = 18 and standard deviation ? = 5. Now, consider a random sample of 45 female students with bulimia.
(Give answers to 4 decimal places.)
a) What is the probability that the sample mean FNE score is greater than 17.5?
b) What is the probability that the sample mean FNE score is between 18 and 18.5?
c) What is the probability that the sample mean FNE score is less than 18.5?