A sports fan was curious about whether the way football games are played have ch

Question

A sports fan was curious about whether the way football games are played have changed over the years, especially in terms of the rushing yardage per game. So he randomly selected 10 games from 10 different teams from the 1996 season, 10 from the 2006 season, and 10 from the 2016 season and looked for the total number of rushing yards for each of those games. Then he performed an ANOVA to compare the three data sets. He calculated his F statistic to be 3.5 and he set the alpha level to be .10.

What are the null and alternative hypotheses (in words only)? (1 for each hypothesis, 2 total)

What are the between-group df and within-group df ? (.5 for each df, 1 total)

What is the critical F value to be compared to the F statistic? (1 point)

What is the conclusion of the hypothesis test (using wording like “reject” or “fail to reject”)? (1 point)

What does the result mean in terms of rushing yardage and year? (1 point

Explanation / Answer

(1)Null Hypothesis:Rushing yardage in 1996 =Rushing yardage in 2006=Rushing yardage in 2016

Alternate hypothesis: they are not equal

(2)between group df = 2

within group df = 10-1 =9

(3)Critical F value is less than calculated F , hence we do not reject the null hypothesis

(4) we fail to reject the null hypothesis

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