Defense wins championships” is a common phrase used in the National Football League. Is defense associated with winning? The following data represent the final standing of a team based on winning percentage and the yards per game allowed during the 2010–2011 season for a random sample of teams.

(a) Test the belief that defense wins championships by determining whether a higher rank is associated with a lower number of total yards given up at the a = 0.10 level of significance.

(b) Draw a scatter diagram to support your conclusion.

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Final Standing Team Total Yards Baltimore Ravens 3 318.9 Cleveland Browns 28 350.1 Denver Broncos 31 390.8 Jacksonville Jaguars 15 371.8 New England Patriots 366.5 322.8 Oakland Raiders 16 Pittsburgh Steelers 276.8