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. a) What arc the null and alternative hypotheses (in words only)? b)What are the between-group df and within-group df? c) What is the critical F value to be compared to the F statistic? d) What is the conclusion of the hypothesis test (using wording like "reject" or "fail to reject")? e) What does the result mean in terms of rushing yardage and year?

Explanation / Answer

(a) H0:there is no difference between the means of all the groups.

H1:there is difference between means of atleast one group.

(b)between group(degree of freedom) df= k-1 = 3-1=2

with in group (degree of freedom) df = N - k.=30-3=27

(c) Critical F is value of F at 2,27 with 0.10 alpha level is (we get from tables) = 2.51061

(d) We reject H0 because 3.5 > 2.51061. We have statistically significant evidence at =0.10 to show that there is a difference in mean atleast one of the group.

(e) there has been change in football games over years in terms of rushing yardage per game.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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