Reading Application #8 (Hypothesis Testing and z scores) Read the following scenario: You and your friend are enrolled in two different sections of the Algebra, Functions, and Data Analysis course. These sections are taught by two different professors. Recently, different midterm tests were administered in each section. Since the college 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. 1. Since your test score of 92 is higher than your friend's test score of 83, explain why you cannot claim that you did better on your exam than she did. Provide at least 4 different reasons. (Hint: Review the slide presentation and remember, you and your friend are in two different sections of the course!) 2. 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? (Hint: Some calculations must be made )