The Baseball data set (in Appendix A and Connect) reports information on the 30 Major League Baseball

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The Baseball data set (in Appendix A and Connect) reports information on the 30 Major League Baseball (MLB) teams for the 2021 season.
1. In the MLB, each team plays 162 games in a season. A rule-of-thumb is that 90 or more wins in a season qualify a team for the post-season playoffs. To summarize the 2021 season, create a frequency table of wins. Start the first class at 40 and use a class interval of 10.
a. What is the probability that a team wins 90 or more games?
b. In the playoffs, only 10 teams can enter the playoffs. Based on the 2021 season, what is the probability that a team that wins 90 or more games makes the playoffs?
c. Make a statement based on your responses to parts (a) and (b).

2. Presently the National League requires that all fielding players, including pitchers, take a turn to bat. In the American League, teams can use a designated hitter (DH) to take the pitcher’s turn to bat. For each league, create a frequency distribution and a relative frequency distribution of teams based on the season total of home runs.
For the frequency distributions, start the first class at 120 home runs and use a class interval of 30.
a. In the American League, what is the probability that a team hits 180 or more home runs?
b. In the National League, what is the probability that a team hits 180 or more home runs?
c. Make statements comparing the two distributions.

TeamLeagueYear OpenedTeam SalaryAttendanceWinsERABAHRNet worth ($billion) 
Arizona DiamondbacksNational199889.081,043,010525.110.236144$1.320
Atlanta BravesNational2017134.462,300,247883.880.244239$1.875
Baltimore OriolesAmerican199245.70793,229525.840.239195$1.430
Boston Red SoxAmerican1912180.261,725,323924.260.261219$3.465
Chicago CubsNational1914149.671,978,934714.870.237210$3.360
Chicago White SoxAmerican1991125.991,596,385933.730.256190$1.685
Cincinnati RedsNational2003118.751,505,024834.400.249222$1.085
Cleveland IndiansAmerican199446.831,114,368804.340.238203$1.160
Colorado RockiesNational1995103.991,938,645744.820.249182$1.300
Detroit TigersAmerican200080.401,102,623774.320.242179$1.260
Houston AstrosAmerican2000171.022,068,509953.760.267221$1.870
Kansas City RoyalsAmerican197387.781,159,613744.650.249163$1.060
Los Angeles AngelsAmerican1966177.351,512,033774.690.245190$2.025
Los Angeles DodgersNational1962235.412,804,6931063.010.244237$3.570
Miami MarlinsNational201249.43642,617673.960.233158$0.990
Milwaukee BrewersNational200187.571,824,282953.500.233194$1.220
Minnesota TwinsAmerican2010121.001,310,199734.830.241228$1.325
New York MetsNational2009167.421,484,665773.900.238176$2.450
New York YankeesAmerican2009191.211,959,854923.740.237222$5.250
Oakland AthleticsAmerican196674.62701,430864.020.238199$1.125
Philadelphia PhilliesNational2004174.011,515,890824.390.24198$2.050
Pittsburgh PiratesNational200135.91859,498615.080.236124$1.285
San Diego PadresNational2004171.692,191,950794.100.242180$1.500
San Francisco GiantsAmerican2000127.891,679,4841073.240.249241$3.175
Seattle MarinersNational199964.551,215,985904.300.226199$1.630
St. Louis CardinalsNational2006135.052,102,530903.980.244198$2.245
Tampa Bay RaysAmerican199060.39761,0721003.670.242222$1.055
Texas RangersAmerican199484.872,110,258604.790.232167$1.785
Toronto Blue JaysAmerican1989137.13809,557913.910.266262$1.675
Washington NationalsNational2008161.911,465,543654.800.258182$1.925
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Statistical Techniques In Business And Economics

ISBN: 9781265779696

19th Edition

Authors: Douglas Lind, William Marchal, Samuel Wathen

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