Question

1. You and your friend are enrolled in two different sections of the Algebra, Functions, and Data Analysis course. Recently, different midterm tests were given in each section. Since the high school has large class sizes, the test scores in both sections are approximately normally distributed. In your section, the mean was 80 and your score was 92. In your friend's section, the mean was 71 and her score was 83.

a) Since your test score of 92 is higher than your friend's test score of 83, can you claim that you did better on your exam than she did on her exam? Why or why not? Provide at least 3 different reasons. Do not use standard deviations or other statistical concepts in your answer. (Hint: You and your friend are in two different sections taught by different professors.)

b) In the same scenario, more information is now provided. The standard deviation of the test scores in your section was 6.7. The standard deviation of test scores in your friend's section was 6.1. In this case, did you or your friend do better on the midterm test? Explain your answer. What was different in this case?

Answer 1