2. A university is interested in whether there's a difference between students who live on campus and students who live off campus with respect to absenteeism. Over one semester, researchers take random samples of on-campus and off-campus students and record the following number of missed classes over a semester: On-campus: (3. 4. 0. 6. 2, 1. 3. 3. 5. 2. 4. 4. 6. 5. 20 Off-campus: (6, 5, 2, 6, 2, 0. 7 8. 1, 7, 2, 7. 2. 6. 5. 3 21 A. Would we use a { confidence interval or a z confidence interval to determine whether there's a significant difference between the two groups? What are the conditions for using this kind of confidence interval? Do these data meet the necessary conditions? Use sketches of modified box and whisker plots to support your decision. (2 points) B. What are the degrees of freedom (k) for this test using the conservative method? (Hint: Don't pool and don't use your calculator ) (1 C. What are the sample statistics for this test? Consider on-campus students to be sample one and off-campus students to be sample two. (2 points) D. Compute a 95% confidence interval for the difference between the number of classes missed by each group of students. (2 points) E. Compute a 90% confidence interval for the difference between the number of classes missed by each group of students. (2 points) F. Based on the two confidence intervals you computed in parts d and e, draw a conclusion about the differences between the means of the two groups. Use Ho , : )= 0 as your null. (2 points)