D.) The 95% Confidence interval is: (X-x.) ole, df (3 + 31 n = -0.8 0.025,24 (10.6337 =-0.8 2.064 (V0.6337) = (-2.4429,0.8429 na The 90% Confidence interval is: (X2 - X) t/2, df 2 + =-0.8 0.50.24 (10.6337 = -0.8 0.685(10.6337 = (-2.162,0.562) F.) we fail to reject Ho Ho: ll1 = M2 n From the two confidence intervals computed in parts dande, the conclusion about the differences between the mean of the two groups is significant. Since zero is included in both intervals. Practice: conclusion about the differences between the means of the two groups. Use Ho: (-2)=0 as your null. (2 points) the past semester, you've collected the following data on the time it takes you to get 2.) a.) We use at confidence interval to determine whether there's a significant difference between the two groups. The conditions to use + test cire: 1.) The sample should be independent- 2.) The population mean and variance are unknown on Campus off Campus H 3 0 I 2 b.) 3.0952 15 3.0952 15 14 + + 2 6.4095 15 6.4095 15 a 14 H 4 5 6 Data L 8 J + 10 = 24.96456 24 (df is approximcited to floor) C.) The sample statistic to this test is given that the population standard deviations are not equal and unknown. So we use two-scimple unpooked t-test. uncler Ho, our test statistic is defined as t = (x-x2) (3.33333-4.13333) ~t df + S 3.0952 15 6.4095 t na 15 -0.8 = = -1.005 10.6337 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, 2) Off-campus: (6, 5, 2, 6, 2, 0, 7, 8, 1, 7, 2, 6, 5, 3, 2) Would we use a t 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) 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 point) 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) 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