5. Listed below are the 25 players on the opening-day roster of the 2013 New York Yankees Major League Baseball team, their salaries, and fielding positions. Player Salary (US$) Position CC Sabathia 24,285,714 Pitcher Hiroki Kuroda 15,000,000 Pitcher Andy Pettitte 12,000,000 Pitcher Mariano Rivera 10,000,000 Pitcher Phil Hughes 7,150,000 Pitcher Boone Logan 3,150,000 Pitcher David Robertson 3,100,000 Pitcher Joba Chamberlain 1,875,000 Pitcher Shawn Kelley 935,000 Pitcher Ivan Nova 575,600 Pitcher David Phelps 512,425 Pitcher Adam Warren 490,525 Pitcher Lyle Overbay 850,000 First Baseman Robinson Cano 15,000,000 Second Baseman Kevin Youkilis 12,000,000 Third Baseman Francisco Cervelli 515,350 Catcher Chris Stewart 515,100 Catcher Brett Gardner 2,850,000 Center Field Travis Hafner 2,000,000 Designated Hitter Vernon Wells 24,642,857 Left Field Ben Francisco 1,200,000 Left Field Ichiro Suzuki 6,500,000 Right Field Brennan Boesch 1,500,000 Right Field Jayson Nix 900,000 Shortstop Eduardo Nunez 533,300 Shortstop Sort the players into two groups, pitchers (P) and nonpitchers (position players). Assume equal population standard deviations for the position players and the pitchers. Test the hypothesis that mean salaries of pitchers and nonpitchers are equal using the .01 significance level. Click here for the Excel Data File 1. State the null and alternative hypothesis. H0 (Click to select) : H1 : (Click to select) 2. What is the decision rule? Reject H0 if t is not between and . 3. Calculate the test statistic. Value of the test statistic 4. What is your decision regarding H0? Do not reject Reject 5. Is there a difference in the mean salaries of pitchers and position players? Yes No