Following are the 29 players on the opening-day roster of the 2019 Boston Red Sox Major League Baseball team, fielding positions, and salaries. Player Position Salary David Price Starting Pitcher $31,000,000 J.D. Martinez Outfield 23,750,000 Rick Porcello Starting Pitcher 21,125,000 Mookie Betts Relief Pitcher 20,000,000 Nathan Eovaldi Starting Pitcher 17,000,000 Chris Sale Starting Pitcher 15,000,000 Dustin Pedroia Infield 14,521,686 Xander Bogaerts Infield 12,000,000 Jackie Bradley Jr. Outfield 8,550,000 Mitch Moreland Infield 6,500,000 Steve Pearce Infield 6,250,000 Eduardo Nunez Infield 5,000,000 Eduardo Rodriguez Starting Pitcher 4,300,000 Brock Holt Infield 3,575,000 Christian Vazquez Catcher 2,933,333 Tyler Thornburg Relief Pitcher 1,750,000 Matt Barnes Relief Pitcher 1,600,000 Steven Wright Starting Pitcher 1,375,000 Heath Hembree Relief Pitcher 1,312,500 Brandon Workman Relief Pitcher 1,150,000 Blake Swihart Catcher 910,000 Andrew Benintendi Outfield 717,500 Rafael Devers Infield 614,500 Ryan Brasier Relief Pitcher 577,500 Brian Johnson Relief Pitcher 575,000 Hector Velazquez Relief Pitcher 568,500 Marco Hernandez Infield 564,000 Sam Travis Infield 558,500 Colten Brewer Relief Pitcher 557,000 Sort the players into two groups, all pitchers (relief and starting) and position players (all others). Assume equal population standard deviations for the pitchers and the position players. Test the hypothesis that mean salaries of pitchers and position players are equal using the .01 significance level.