3. Over the past semester, you've collected the following data on the time it takes you to get to school by bus and by car: Bus: (15, 10, 7, 13, 14, 9, 8, 12, 15, 10, 13, 13, 8, 10, 12, 11, 14, 11, 9, 12) Car: (5, 8, 7, 6, 9, 12, 11, 10, 9, 6, 8, 10, 13, 12, 9, 11, 10, 7) You want to know if there's a difference in the time it takes you to get to school by bus and by car. A. What test would you use to look for a difference in the two data sets, and what are the conditions for this test? Do the data meet these 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 point) C. What are the sample statistics for this test? Consider the data you collected for bus times to be sample one and the data for car times to be sample two. (2 points) D. Compute a 99% confidence interval for the difference between the time it takes you to get to school on the bus and the time it takes to go by car. Draw a conclusion about this difference based on this confidence interval using H0 : ( _ 2 ) = 0 as your null. (2 points) E. Construct the same confidence interval you did in part d, this time using your graphing calculator. Show what you do on your calculator, and what you put into your calculator, and give the confidence interval and degrees of freedom. (Hint: Go back to previous study materials for this unit if you need to review how to )(2 points) F. How is the interval computed on a calculator different from the interval computed by hand? Why is it different? In this case, would you come to a different conclusion for the hypothesis H0 : ( _ 2 ) = 0 if you used the confidence interval generated by the calculator? (1 point)