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: $$\sum y = 1,134 , \sum x = 3.642 , \sum y ^ { 2 } = 93,110 , \sum x^ { 2 } = .948622 , \text { and } \sum x y = 295.54$$
Assume $\hat { \beta } 1 = 455.27$ and $\hat { \sigma } = 9.18$. Conduct a test of hypothesis to determine if a positive linear relationship exists between team batting average and number of wins. Use $\alpha = .05$.

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The Answer of 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: $$\sum y = 1,134 , \sum x = 3.642 , \sum y ^ { 2 } = 93,110 , \sum x^ { 2 } = .948622 , \text { and } \sum x y = 295.54$$
Assume $\hat { \beta } 1 = 455.27$ and $\hat { \sigma } = 9.18$. Conduct a test of hypothesis to determine if a positive linear relationship exists between team batting average and number of wins. Use $\alpha = .05$.

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∑y=1,134,∑x=3.642,∑y2=93,110,∑x2=.948622, and ∑xy=295.54

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