A sports reporter wants to determine if the preseason Associated Press (AP) poll is positively related to the final AP poll. The following data represent the preseason and final AP rankings for a random sample of teams for the 2014 college football season.

(a) Does a positive relationship exist between preseason AP rank and final AP rank? Use the α = 0.05 level of significance.
(b) Draw a scatter diagram to support your conclusion.

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Team Preseason Final AP AP Rank Rank Auburn 22 Wisconsin 14 13 Florida 27 41 Georgia 12 Missouri 24 11 Michigan 37 81 Texas A&M 21 34 University of Southern California 15 21 Ohio State