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Is the Number of Games Won by a Major League y=1,134,x=3.642,y2=93,110,x2=.948622, and xy=295.54\sum y = 1,134 , \sum x = 3.642 , \sum y ^ { 2 } = 93,110 , \sum x^ { 2 } = .948622 , \text { and } \sum x y = 295.54

question 97

Essay

Is the number of games won by a major league baseball team in a season related to the team's batting average? Data from 14 teams were collected and the summary statistics yield: y=1,134,x=3.642,y2=93,110,x2=.948622, and xy=295.54\sum y = 1,134 , \sum x = 3.642 , \sum y ^ { 2 } = 93,110 , \sum x^ { 2 } = .948622 , \text { and } \sum x y = 295.54
Assume β^1=455.27\hat { \beta } 1 = 455.27 and σ^=9.18\hat { \sigma } = 9.18 . Conduct a test of hypothesis to determine if a positive linear relationship exists between team batting average and number of wins. Use α=.05\alpha = .05 .


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