Question

The National Foothall League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services praject the players who will be drafted along with the order in which each will be selected in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastem Conference will be selected Big Ten PAC-12 ACC SEC CollegeProjected Attended College Projected Draft Position Draft Position Attended Draft College Projected Position Attended Draft Position Florida State Florida Michigan St Oregon Oregon Washington Kentucky Georgia Tech 14 26 Texas A&M 12 13 16 25 Louisville Wisconsin 19 Missouri Wake Forest Florida State Virginia Tech 20 Alabamia Stanford 23 LSU Arizona St 29 28 use the Kruskal-Wallis test to determine if there is any difference amūng NFL teams for players rrom these rour conferences. Use α = 0.05. State the null and alternative hypotheses. Ho MedianAcC MedianE Ten- MedianpAC-12- MedianSEC Hs MedianAccMedianBig Ten MedianpAC 12 Mediansec oinAccMedanBig Tan MedianpAC-12 MediansEc Ha: MedianAce* MedianBig Ten MedianPAC-12 # MedianSEC O Ho: Median O Hoi The populations for the mock draft positions of the four conferences are not all identical. H: The populations for the mock draft positions of the four conferences are identical Ho: The populations for the mock draft positions of the four conferences are identical Ha: The populations for the mock drart positions of the four conferences are not all identical. O HO: MedianACe* MedianBig Ten MedianPAC-12 # MedianSEC Ha MedianAcc MedianBig Ten MedianPAC-12 MediansEC Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to three decimal places.) p-value

Answer 1

Noo to stead Altrometive hifotlhesia m oc fo sitions a ide.ntral. ftene Sgnifianc level (x) 0.05 o a .605 No to find varibe

2 80. 8393 S .9911 Stondand devia tlon (s) 8. arn f6

5-1 282 4 95.5 8 131 8 16-38 N- 3-638- l6 38)F 65-16-38)+6-1638)(H6 '24-i6") t (22-16-n't (23-16-38),

s2 1875 S5. 8393 13-315 N-I (25-13-315广t(28-1 3.375)L 6-13.375)2t + 8-1 89.614) 34.815 81. 2188

Now standand e,נת.gr (425)t 0 25 0425 SE- ו'ר250 SE 30- 625-29 755 1125 0.87 t o. 2 f- 3 Neati e Pykue P-Veue m P-value (o.9ia) > #6.05) o OS

So oc fait to Jieject () Conclusion Sufrat the clain. Theae is no SFicievt evisence t- S that rae is difftsmire NFL tomes foua Jlom thr