Determine the likelihood of a sample mean


Refer to the baseball dataset provided on the author's website. Over the last 10 years, the mean attendance per team followed a normal distribution with a mean of 2.25 million per team and a standard deviation of.70 million.

Use a statistical software to compute the mean attendance per team for the 2009 season.

Determine the likelihood of a sample mean this large or larger from the population.

Team League Built Size Salary Wins Attendance BA ERA HR Errors SB

Year Average
X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X12

X13 X14
Baltimore Orioles 1 1992 48876 67.1 64 1.91 0.268 5.15 160 90 76

1989 $512,930
Boston Red Sox 1 1912 39928 121.8 95 3.06 0.270 4.35 212 82 126

1990 $578,930
Chicago White Sox 1 1991 40615 96.1 79 2.28 0.258 4.14 184 113 113

1991 $891,188
Cleveland Indians 1 1994 43345 81.6 65 1.77 0.264 5.06 161 97 84

1992 $1,084,408
Detroit Tigers 1 2000 41782 115.1 86 2.57 0.260 4.29 183 88 72

1993 $1,120,254
Kansas City Royals 1 1973 40793 70.5 65 1.80 0.259 4.83 144 116 88

1994 $1,188,679
Los Angeles Angels 1 1966 45050 113.7 97 3.24 0.285 4.45 173 85 148

1995 $1,071,029
Minnesota Twins 1 2010 40000 65.3 87 2.42 0.274 4.50 172 76 85

1996 $1,176,967
New York Yankees 1 2009 52325 201.5 103 3.72 0.283 4.26 244 86 111

1997 $1,383,578
Oakland Athletics 1 1966 34077 62.3 75 1.41 0.262 4.26 135 105 133

1998 $1,441,406
Seattle Mariners 1 1999 47116 98.9 85 2.20 0.258 3.87 160 105 89

1999 $1,720,050
Tampa Bay Rays 1 1990 36048 63.3 84 1.87 0.263 4.33 199 98 194

2000 $1,988,034
Texas Rangers 1 1994 49115 68.2 87 2.16 0.260 4.38 224 106 149

2001 $2,264,403
Toronto Blue Jays 1 1989 50516 80.5 75 1.88 0.266 4.47 209 76 73

2002 $2,383,235
Arizona Diamondbacks 0 1998 49033 73.5 70 2.13 0.253 4.42 173 124 102

2003 $2,555,476
Atlanta Braves 0 1996 50091 96.7 86 2.37 0.263 3.57 149 96 58

2004 $2,486,609
Chicago Cubs 0 1914 41118 134.8 83 3.17 0.255 3.84 161 105 56

2005 $2,632,655
Cincinnati Reds 0 2003 42059 73.6 78 1.75 0.247 4.18 158 89 96

2006 $2,866,544
Colorado Rockies 0 1995 50445 75.2 92 2.67 0.261 4.22 190 87 106

2007 $2,944,556
Florida Marlins 0 1987 36331 36.8 87 1.46 0.268 4.29 159 106 75

2008 $3,154,845
Houston Astros 0 2000 40950 103.0 74 2.52 0.260 4.54 142 78 113

2009 $3,240,000
Los Angeles Dodgers 0 1962 56000 100.4 95 3.76 0.270 3.41 145 83 116



Milwaukee Brewers 0 2001 42200 80.2 80 3.04 0.263 4.83 182 98 68



New York Mets 0 2009 45000 149.4 70 3.15 0.270 4.45 95 97 122



Philadelphia Phillies 0 2004 43647 113.0 93 3.60 0.258 4.16 224 76 119



Pittsburgh Pirates 0 2001 38496 48.7 62 1.58 0.252 4.59 125 73 90



San Diego Padres 0 2004 42445 43.7 75 1.92 0.242 4.37 141 94 82



San Francisco Giants 0 2000 41503 82.6 88 2.86 0.257 3.55 122 88 78



St. Louis Cardinals 0 2006 49660 77.6 91 3.34 0.263 3.66 160 96 75



Washington Nationals 0 2008 41888 60.3 59 1.82 0.258 5.00 156 143 73



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Basic Statistics: Determine the likelihood of a sample mean
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