• Listed in above table are the salaries in $1000 of the 25 players on the opening-day roster of the 2010 New York Yankees Major League baseball team. Player Salary ($000) Position Aceves, Alfredo 435.7 Pitcher Burnett, A.J. 16,500.00 Pitcher Cano, Robinson 9,000.00 Second Baseman Cervelli, Francisco 410.8 Catcher Chamberlain, Joba 488 Pitcher Gardner, Brett 452.5 Outfielder Granderson, Curtis 5,500.00 Outfielder Hughes, Phil 447 Pitcher Jeter, Derek 22,600.00 Shortstop Johnson, Nick 5,500.00 First Baseman Marte, Damaso 4,000.00 Pitcher Mitre, Sergio 850 Pitcher Park, Chan Ho 1,200.00 Pitcher Pena, Ramiro 412.1 Infielder Pettitte, Andy 11,750.00 Pitcher Posada, Jorge 13,100.00 Catcher Rivera, Mariano 15,000.00 Pitcher Robertson, David 426.7 Pitcher Rodriguez, Alex 33,000.00 Third Baseman Sabathia, CC 24,285.70 Pitcher Swisher, Nick 6,850.00 Outfielder Teixeira, Mark 20,625.00 First Baseman Thames, Marcus 900 Outfielder Vazquez, Javier 11,500.00 Pitcher Winn, Randy 1,100.00 Outfielder Sort the players into two groups, pitchers and non-pitchers (position players). Test the hypothesis that mean salaries between position players and pitchers are the same versus the alternate hypothesis that they are not the same. Use the .01 significance level. a. The average salaries for two groups are ____ and _____. b. The degree of freedom for this test is ________. c. The value of test statistic is ________. d. The p-value for this test is ______________. e. State the null and alternative hypothesis. f. Can you reject the null hypothesis? g. Can you conclude that the mean salaries between position players and pitchers are the same?