8. LAYING FOUNDATION the Normal Models and Sampling Distributions Page 6 of 15 A large college class is graded on a total points system. The total points earned in a semester by the students in the class vary normally with a mean of 675 and a standard deviation of 50. Another large class in a different department is graded on a 0 to 100 scale. The final grades in that class follow a normal model with a mean of 82 and a standard deviation of 6. Jessica earns 729 points in the first class, while Ana scores 90 in the second class. Which student did better and why? (A) Jessica did better because her score is 54 points above the mean while Ana's is only 8 points above the mean (B) The students did equally well because both scored above the mean. (C) Ana did better because her score is 1.33 standard deviations above the mean while Jessica's is only 1.08 standard deviations above the mean. (D) Neither student did better; they cannot be compared because their classes have different scoring systems.
