Based on the data set, test whether the AVG salary of pitchers differs from that of all other players.

Explain & Show your null hypothesis and the test statistic used to investigate the hypothesis.

Do you reject your null hypothesis at a "reasonable" confidence level?

*Include relevant Excel output if it is possible

Player Team Position Salary Player Team Position Salary Barry Zito San Francisco Giants Pitcher $18,500,000 Ichiro Suzuki Seattle Mariners Outfielder $18,000,000 A.J. Burnett New York Yankees Pitcher $16,500,000 Michael Young Texas Rangers Infielder $16,174,974 Brad Lidge Philadelphia Phillies Pitcher $12,000,000 Albert Pujols St. Louis Cardinals First Baseman $14,508,395 Felix Hernandez Seattle Mariners Pitcher $11,700,000 J.D. Drew Boston Red Sox Outfielder $14,000,000 $9,875,000 $12,500,000 Aaron Cook Colorado Rockies Pitcher David Ortiz Boston Red Sox Designated Hitter Adam Wainwright St. Louis Cardinals Pitcher $6,687,500 Adam Dunn Chicago White Sox Designated Hitter $12,000,000 Bobby Jenks Boston Red Sox Pitcher $6,000,000 Aubrey Huff San Francisco Giants First Baseman $10,000,000 Texas Rangers Pitcher $3,900,000 Grady Sizemore Cleveland Indians Outfielder $7,666,666 Arthur Rhodes $7,611,455 Aroldis Chapman Cincinnati Reds Pitcher $3,835,772 Vladimir Guerrero Baltimore Orioles Designated Hitter Miami Marlins Pitcher $3,700,000 Adam LaRoche Washington Nationals First Baseman $7,000,000 Anibal Sanchez Aaron Harang San Diego Padres Pitcher $3,500,000 Hunter Pence Houston Astros Outfielder $6,900,000 Brad Penny Detroit Tigers Pitcher $3,000,000 Adrian Gonzalez Boston Red Sox First Baseman $6,300,000 Armando Galarraga Arizona Diamondbacks Pitcher $2,300,000 Adam Lind Toronto Blue Jays First Baseman $5,150,000 Arizona Diamondbacks Pitcher $2,000,000 Hideki Matsui Oakland Athletics Designated Hitter $4,250,000 Aaron Heilman Kansas City Royals Pitcher $1,400,000 Billy Butler Kansas City Royals First Baseman $3,500,000 Aaron Crow Boone Logan New York Yankees Pitcher $1,200,000 Jim Thome Minnesota Twins Designated Hitter $3,000,000 Andy Sonnanstine Tampa Bay Rays Pitcher $912,500 Jack Cust Seattle Mariners Designated Hitter $2,500,000 Bartolo Colon New York Yankees Pitcher $900,000 Jamey Carroll Los Angeles Dodgers Infielder $2,285,677 Brad Thomas Detroit Tigers Pitcher $800,000 Manny Ramirez Tampa Bay Rays Designated Hitter $2,020,000 Blaine Boyer New York Mets Pitcher $725,000 A.J. Pierzynski Chicago White Sox Catcher $2,000,000 Bill Bray Cincinnati Reds Pitcher $645,000 Alberto Callaspo Los Angeles Angels First Baseman $2,000,000 Pitcher $465,000 Washington Nationals Infielder $2,000,000 Andrew Bailey Oakland Athletics Jerry Hairston Jr. Alberto Arias Houston Astros Pitcher $439,500 Fred Lewis Cincinnati Reds Outfielder $900,000 Baltimore Orioles Pitcher $434,000 Brayan Pena Kansas City Royals Catcher $660,000 Brad Bergesen Aaron Laffey Seattle Mariners Pitcher $431,600 Garrett Jones Pittsburgh Pirates Outfielder $455,500 Alexi Ogando Texas Rangers Pitcher $430,150 Sean J. Rodriguez Tampa Bay Rays Infielder $428,600 Andrew Cashner Chicago Cubs Pitcher $427,500 Gerardo Parra Arizona Diamondbacks Outfielder $426,000 Blake Hawksworth Los Angeles Dodgers Pitcher $426,000 Alex Avila Detroit Tigers Catcher $425,000 Adam Russell Tampa Bay Rays Pitcher $420,800 Robert Andino Baltimore Orioles Infielder $421,500 Antonio Bastardo Philadelphia Phillies Pitcher $419,000 A.J. Ellis Los Angeles Dodgers Catcher $421,000 Barry Enright Arizona Diamondbacks Pitcher $418,000 Adam Moore Seattle Mariners Catcher $417,500 Brad Lincoln Pittsburgh Pirates Pitcher $414,500 Bobby Wilson Los Angeles Angels Catcher $416,000 Aneury Rodriguez Houston Astros Pitcher $414,000 Brett Hayes Miami Marlins Catcher $414,000 Bob Cramer Oakland Athletics Pitcher $414,000 Erick Almonte Milwaukee Brewers Infielder $414,000 Pitcher Infielder $414,000 Bobby Cassevah Los Angeles Angels $414,000 Jared Goedert Cleveland Indians