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

Null hypothesis: There is no difference between the different years

Alternative hypothesis: There is a difference between the different years

between-group df=k-1=10-9=9

within group df=n-k=30-10=20

The critical F value accoring to F-table is: 1.964

Since calculated value is greater than critical value, null hypothesis is rejected.

The result means that there is a significant difference in the performance of football over the years.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.