helpp

TBy-Hand) The U.S. Bureau of Prisons publishes data in Statistical Report on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners for five different offense categories yielded the following information on time served, in months. Offense Counterfeiting Drug Laws Firearms Forgery Fraud ni 13 13 13 13 13 14.5 18.4 18.2 15.6 11.5 Si 4.5 3.8 4.5 3.6 4.7 Part a: (9 points) Do the data provide sufficient evidence at the 1% significance level to conclude that a difference exists in mean time served by prisoners among the five offense groups? Show all steps of the appropriate test procedure. Be sure to list any assumptions that are assumed to be true (do not create any plots). Part b: (4 points) Use Tukey-Kramer (Tukey's W) to determine any differences in the mean time served by prisoners among the five oftense groups (be sure to include an underline graphic and sentence), or explain why you don't think there is a difference in the mean time served by prisoners among the five offense groups. Partc: (2 points) Which offense group(s) do you think yield the shortest mean time served? Be sure to include information from your analysis above as the basis for your