2 . Data on household vehicle miles of travel (VMI ) are compiled annually by the Federal Highway Administration . A researcher is interested in whether there is a difference in last year's mean MY I for midwestern and southern households . Independent random samples of 16 midwestern households and old 14 southern households provided the following data on last year's MI , in thousands of miles Midwest : 16 2 129 17 3 14 6 18 6 10 8 11 2 16 6 16 6 24 4 20 3 209 9 6 15 1 . 18 3 South : 22 2 19 2 93 24 6 20 . 2 15 .8 180 12.2 20 1 16 0 17 5 18 2 22.8 11.5 ( 2 ) Graph the data as you see fit . Why did you choose the graph ( s ) you did and what does it ( do they ) tell you ? Also calculate summary statistics relevant to the research question Ton ( b ) Perform a two population to test for means at the 10% level assuming equal variance and justify why the assumptions of the test are resonab ly met ( or describe what assumptions we are assuming are met ) . As part of this test , specify your hypotheses , calculate ap value and make a conclusion Delusion in the context of the question . Compute the p value just using your calculator and t table . Then find an exact p value by running the same test in R ( C ) Construct a 90% confidence interval for the true difference in means ( by hand and then again in R ) . Describe how this confidence interval relates to your findings in part b