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:
1,134,
= 3.642,
= 93,110,
= .948622, and
= 295.54
Assume
1 = 455.27 and
= 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.
Summary statistics yield
SSxx = 21,752,
SSxy = 236.5,
SSyy = 22,
and
Test to determine if a linear relationship exists between the gestation period and the length of life of a horse. Use
5 and use
as an estimate of
σ.
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