8.) A sample has a mean of M= 40 and a standard deviation of s= 6. Find the z-score for each of the following X values from this sample.

X= 44 X=42 X=46

X= 28 X= 50 X= 37

14.) For the population with a standard deviation of = 8 and a score of X= 44 corresponds to z = -0.50. What is the population mean?

18.) In a population of exam scores, a score of corresponds to z = +1.00 and a score of corresponds to z = -0.50. Find the mean and the standard deviation for the population. (Hint: Sketch the distribution and locate the two scores in your sketch.)

22.) For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer.

a. A score of X = 56, on an exam with = 50 and ; or a score of X= 60 on an exam with = 50 and .

c. A score of X= 62, on an exam with = 50 and =8 ; or a score of X= 23 on an exam with =20 and = 2.