Question 1
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:
![](data:image/png;base64, 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)
1,134,
![](data:image/png;base64, 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)
= 3.642,
![](data:image/png;base64, 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)
= 93,110,
![](data:image/png;base64, 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)
= .948622, and
![](data:image/png;base64, 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)
= 295.54
Assume
![](data:image/png;base64, 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)
1 = 455.27 and
![](data:image/png;base64, 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)
= 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.
Question 2
A breeder of Thoroughbred horses wishes to model the relationship between the gestation period and the length of life of a horse. The breeder believes that the two variables may follow a linear trend. The information in the table was supplied to the breeder from various thoroughbred stables across the state.
![](data:image/png;base64, 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)
Summary statistics yield
SSxx = 21,752,
SSxy = 236.5,
SSyy = 22,
![](data:image/png;base64, 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)
and
![](data:image/png;base64, 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)
Test to determine if a linear relationship exists between the gestation period and the length of life of a horse. Use
![](data:image/png;base64, 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)
5 and use
![](data:image/png;base64, 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)
as an estimate of
σ.