Following are the 36 players on the opening-day roster of the 2018 Boston Red Sox Major League Baseball team, their salaries, and fielding positions.

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.

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Position Salary Player David Price J.D. Martinez Rick Porcello Craig Kimbrel Chris Sale Mookie Betts Drew Pomeranz Xander Bogaerts Mitch Moreland Jackie Bradley Eduardo Nunez Joe Kelly Eduardo Rodriguez Pitcher Brock Holt Tyler Thornburg Sandy Leon lan Kinsler Steven Pearce Christian Vazquez Catcher Steven Wright Brandon Workman Pitcher Nathan Eovaldi Andrew Benintendi Outfield Matt Barnes Heath Hembree Rafael Devers Blake Swihart Brian Johnson Hector Velazquez Ryan Brasier Tzu-Wei Lin Bobby Poyner Sam Travis William Cuevas Robby Scott Brandon Phillips Pitcher $30,000,000 $23,750,000 $21,125,000 $13,050,000 $12,515,000 $10,500,000 $8,500,000 $7,050,000 $6,500,000 $6,100,000 $4,000,000 $3,825,000 $2,375,000 $2,225,000 $2,050,000 $1,950,000 $1,833,340 $1,500,000 $1,425,000 $1,100,000 $781,086 $731,204 $620,500 $605,000 $581,500 $564,500 $563,500 $548,000 $547,000 $249,050 Outfield Pitcher Pitcher Pitcher Outfield Pitcher Infield Infield Outfield Infield Pitcher Outfield Pitcher Catcher Infield Infield Pitcher Pitcher Pitcher Pitcher Infield Outfield Pitcher Pitcher Pitcher Infield $234, 400 $158,220 $128,920 $102,550 $87,900 $79,110 Pitcher Pitcher Pitcher Pitcher Infield