Submitted by: Submitted by JaymzsMommy
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Category: Business and Industry
Date Submitted: 04/03/2011 01:38 PM
One Sample Hypothesis Testing
Throughout the years baseball has been one of America’s favorite pastime. Team A chose the Major League Baseball Data set to work with for this paper. We will formulate both numerical and verbal hypotheses about the research question “is the mean salary of the American League teams equal to the entire league’s team mean salary?” A five-step hypothesis test will be performed in an effort to answer this question.
Numerical Hypothesis
The American League of Major League Baseball has been the cornerstone of baseball history in both championships and salary levels. The discussion will be based on the whether the mean salary of the American League teams is equal to the population mean team salary. The mean of all baseball team salaries is $80,284,923.87. We believe that the mean salary of the teams in the American League will be equal to the mean of all the baseball teams even with the highest salary in baseball belonging to the New York Yankees ($196,560,714), because one of the lowest salaries belongs to the Tampa Bay Rays ($35,116,308). According to Sportscity.com (2010) the total team salaries are as follows:
AL EAST
Baltimore Orioles $59,243,333
Boston Red Sox $161,922,143
New York Yankees $196,560,714
Tampa Bay Rays $35,116,308
Toronto Blue Jays $56,590,000
Total: $452,842,498
AL CENTRAL
Chicago White Sox $124,725,000
Cleveland Indians $39,329,167
Detroit Tigers $100,761,000
Kansas City Royals $32,020,000
Minnesota Twins $101,140,000
Total: $397,975,167
AL WEST
Los Angeles Angels $125,612,857
Oakland Athletics $62,647,500
Seattle Mariners $86,770,833
Texas Rangers $78,901,000
Total: $353,932,190
NL EAST
Atlanta Braves $86,873,334
Florida Marlins $51,550,000
New York Mets $136,145,000
Philadelphia Phillies $161,902,381
Washington...