Weekly Quizzes No Weekly Quizzes 65 72 57 85 47 58 50 79 75 74 56 78 64 59 32 75 64 47 27 50 19 G2 34 67 19 12 20 72 64 42 75 62 72 56 72 61 67 59 66 50 41 53 48 53 66 59 60 42 43 54 84 80 63 62 74 54 40 59 Question 1: Grading Scheme [10 marks] A professor wants to evaluate whether testing students weekly with a quiz improves their learning of the class material. The professor teaches the same course in two different semesters, with a class size of 30 in both. In the first semester, the students completed a quiz each week. In the second semester, the students were not given any quizzes. Assume that the teaching was otherwise identical in each semester. The course percentage grade for each student is given in the sheet titled Test Scores. a. Analyze whether the class that was given the weekly quizzes scored higher on aver- age in the class. Give a 95% confidence interval as well as an appropriate test result. Be sure to comment on the validity of each of the two methods for this data. [20 marks] b. Analyze whether students were more likely to pass in the class that was given the weekly quizzes. Give a 95% confidence interval as well as an appropriate test result. Be sure to comment on the validity of each of the two methods for this data. [20 marks]