Refer to the Baseball 2012 data, which repor t information on the 2012 Major Lea
ID: 3058617 • Letter: R
Question
Refer to the Baseball 2012 data, which repor
t information on the 2012 Major
League Baseball
season.
a.
Rank the teams by the number of wi
ns and their total team salary.
Compute the coefficient
of rank co
rrelatio
n between the two variables.
At
the .01 significance level, can you
conclude that it is greater than
zero?
b.
Assume that the distributions of
team salaries for the American
League and National
League do not
follow the normal distribution.
Conduct
a test of hypothesis to see
whether there is a difference in
the two distributions.
c.
Rank the 30 teams by attendance an
d by team salary. Determine the
coefficient of rank
correlation between
these two variables. At the .05
significance level, is it reaso
nable to
conclude the ranks of these two
variables are related
Average Salary 1989 $512.930 1990 $578.930 1991 $891.188 1992 $1.084.408 1993 $1.120.254 1994 $1.188.679 1995 $1.071.029 1996 $1.176.967 1997 $1.383.578 1998 $1.441.406 1999 $1.720.050 2000 $1.988.034 2001 $2.264.403 2002 $2.383.235 2003 $2.555.476 2004 $2.486.609 2005 $2.632.655 2006 $2.866.544 2007 $2.944.556 2008 $3.154.845 2009 $3.240.206 2010 $3.297.828 2011 $3.305.393 2012 $3.440.000 Team League Opened Seating Capacity Salary 2012 Wins Attendance BA ERA HR Errors SB X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X12 Arizona Diamondbacks 0 1998 48633 74,3 81 2,18 0,259 3,93 165 90 93 Atlanta Braves 0 1996 49586 83,3 94 2,42 0,247 3,42 149 86 101 Baltimore Orioles 1 1992 45971 81,4 93 2,1 0,247 3,9 214 106 58 Boston Red Sox 1 1912 37495 173,2 69 3,04 0,26 4,7 165 101 97 Chicago Cubs 0 1914 41009 88,2 61 2,88 0,24 4,51 137 105 94 Chicago White Sox 1 1991 40615 96,9 85 1,97 0,255 4,02 211 70 109 Cincinnati Reds 0 2003 42319 82,2 97 2,35 0,251 3,34 172 89 87 Cleveland Indians 1 1994 43429 78,4 68 1,6 0,251 4,78 136 96 110 Colorado Rockies 0 1995 50398 78,1 64 2,63 0,274 5,22 166 122 100 Detroit Tigers 1 2000 41255 132,3 88 3,03 0,268 3,75 163 99 59 Houston Astros 0 2000 40981 60,7 55 1,61 0,236 4,56 146 118 105 Kansas City Royals 1 1973 37903 60,9 72 1,74 0,265 4,3 131 113 132 Los Angeles Angels 1 1966 45957 154,5 89 3,06 0,274 4,02 187 98 134 Los Angeles Dodgers 0 1962 56000 95,1 86 3,32 0,252 3,34 116 98 104 Miami Marlins 0 2012 36742 118,1 69 2,22 0,244 4,09 137 103 149 Milwaukee Brewers 0 2001 41900 97,7 83 2,83 0,259 4,22 202 99 158 Minnesota Twins 1 2010 39504 94,1 66 2,78 0,26 4,77 131 107 135 New York Mets 0 2009 41922 93,4 95 2,24 0,249 4,09 139 101 79 New York Yankees 1 2009 50287 198 74 3,54 0,265 3,85 245 74 93 Oakland Athletics 1 1966 35067 55,4 94 1,68 0,238 3,48 195 111 122 Philadelphia Phillies 0 2004 43651 174,5 81 3,57 0,255 3,83 158 101 116 Pittsburgh Pirates 0 2001 38362 63,4 79 2,09 0,243 3,86 170 112 73 San Diego Padres 0 2004 42691 55,2 76 2,12 0,247 4,01 121 121 155 San Francisco Giants 0 2000 41915 117,6 94 3,38 0,269 3,68 103 115 118 Seattle Mariners 1 1999 47860 82 75 1,72 0,234 3,76 149 72 104 St. Louis Cardinals 0 2006 43975 110,3 88 3,26 0,271 3,71 159 107 91 Tampa Bay Rays 1 1990 34078 64,2 90 1,56 0,24 3,19 175 114 134 Texas Rangers 1 1994 48194 120,5 93 3,46 0,273 3,99 200 85 91 Toronto Blue Jays 1 1989 49260 75,5 73 2,1 0,245 4,64 198 101 123 Washington Nationals 0 2008 41487 81,3 98 2,37 0,261 3,33 194 94 105 8388 71411215 1: 990 10 11 80 66361767219558 2 94, 3 4 933 4434534 434444333343 33343 97764511486542 9695853794 '1 4 351 5246354463 ,2 2 2 2 2 2 2 2 0, 2 2 2 2 2 2 2 2 0, ,2 ,2 2 2 3314 1 7 142 2 1133222231322 ,3 3 4 2 2 9 2 4 1 ,3 7 9 5 1 17 ,1 4 8 4 5 4 2 6 2 3 2 5 5 3 8 878 87 584 779 3615959985-37 2771215 112958 4329 66989 3 2 4 8622413 999119 9 9 9 9 9 362210 7661 2 001101010101100010110000101110Explanation / Answer
Refer to the Baseball 2012 data, which repor
t information on the 2012 Major
League Baseball
season.
a.
Rank the teams by the number of wi
ns and their total team salary.
Compute the coefficient
of rank co
rrelatio
n between the two variables.
At
the .01 significance level, can you
conclude that it is greater than
zero?
b.
Assume that the distributions of
team salaries for the American
League and National
League do not
follow the normal distribution.
Conduct
a test of hypothesis to see
whether there is a difference in
the two distributions.
c.
Rank the 30 teams by attendance an
d by team salary. Determine the
coefficient of rank
correlation between
these two variables. At the .05
significance level, is it reaso
nable to
conclude the ranks of these two
variables are related
Average Salary 1989 $512.930 1990 $578.930 1991 $891.188 1992 $1.084.408 1993 $1.120.254 1994 $1.188.679 1995 $1.071.029 1996 $1.176.967 1997 $1.383.578 1998 $1.441.406 1999 $1.720.050 2000 $1.988.034 2001 $2.264.403 2002 $2.383.235 2003 $2.555.476 2004 $2.486.609 2005 $2.632.655 2006 $2.866.544 2007 $2.944.556 2008 $3.154.845 2009 $3.240.206 2010 $3.297.828 2011 $3.305.393 2012 $3.440.000 Team League Opened Seating Capacity Salary 2012 Wins Attendance BA ERA HR Errors SB X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 X12 Arizona Diamondbacks 0 1998 48633 74,3 81 2,18 0,259 3,93 165 90 93 Atlanta Braves 0 1996 49586 83,3 94 2,42 0,247 3,42 149 86 101 Baltimore Orioles 1 1992 45971 81,4 93 2,1 0,247 3,9 214 106 58 Boston Red Sox 1 1912 37495 173,2 69 3,04 0,26 4,7 165 101 97 Chicago Cubs 0 1914 41009 88,2 61 2,88 0,24 4,51 137 105 94 Chicago White Sox 1 1991 40615 96,9 85 1,97 0,255 4,02 211 70 109 Cincinnati Reds 0 2003 42319 82,2 97 2,35 0,251 3,34 172 89 87 Cleveland Indians 1 1994 43429 78,4 68 1,6 0,251 4,78 136 96 110 Colorado Rockies 0 1995 50398 78,1 64 2,63 0,274 5,22 166 122 100 Detroit Tigers 1 2000 41255 132,3 88 3,03 0,268 3,75 163 99 59 Houston Astros 0 2000 40981 60,7 55 1,61 0,236 4,56 146 118 105 Kansas City Royals 1 1973 37903 60,9 72 1,74 0,265 4,3 131 113 132 Los Angeles Angels 1 1966 45957 154,5 89 3,06 0,274 4,02 187 98 134 Los Angeles Dodgers 0 1962 56000 95,1 86 3,32 0,252 3,34 116 98 104 Miami Marlins 0 2012 36742 118,1 69 2,22 0,244 4,09 137 103 149 Milwaukee Brewers 0 2001 41900 97,7 83 2,83 0,259 4,22 202 99 158 Minnesota Twins 1 2010 39504 94,1 66 2,78 0,26 4,77 131 107 135 New York Mets 0 2009 41922 93,4 95 2,24 0,249 4,09 139 101 79 New York Yankees 1 2009 50287 198 74 3,54 0,265 3,85 245 74 93 Oakland Athletics 1 1966 35067 55,4 94 1,68 0,238 3,48 195 111 122 Philadelphia Phillies 0 2004 43651 174,5 81 3,57 0,255 3,83 158 101 116 Pittsburgh Pirates 0 2001 38362 63,4 79 2,09 0,243 3,86 170 112 73 San Diego Padres 0 2004 42691 55,2 76 2,12 0,247 4,01 121 121 155 San Francisco Giants 0 2000 41915 117,6 94 3,38 0,269 3,68 103 115 118 Seattle Mariners 1 1999 47860 82 75 1,72 0,234 3,76 149 72 104 St. Louis Cardinals 0 2006 43975 110,3 88 3,26 0,271 3,71 159 107 91 Tampa Bay Rays 1 1990 34078 64,2 90 1,56 0,24 3,19 175 114 134 Texas Rangers 1 1994 48194 120,5 93 3,46 0,273 3,99 200 85 91 Toronto Blue Jays 1 1989 49260 75,5 73 2,1 0,245 4,64 198 101 123 Washington Nationals 0 2008 41487 81,3 98 2,37 0,261 3,33 194 94 105 8388 71411215 1: 990 10 11 80 66361767219558 2 94, 3 4 933 4434534 434444333343 33343 97764511486542 9695853794 '1 4 351 5246354463 ,2 2 2 2 2 2 2 2 0, 2 2 2 2 2 2 2 2 0, ,2 ,2 2 2 3314 1 7 142 2 1133222231322 ,3 3 4 2 2 9 2 4 1 ,3 7 9 5 1 17 ,1 4 8 4 5 4 2 6 2 3 2 5 5 3 8 878 87 584 779 3615959985-37 2771215 112958 4329 66989 3 2 4 8622413 999119 9 9 9 9 9 362210 7661 2 001101010101100010110000101110