he National Football 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 project the players who...


he National Football 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 project 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 Southeastern Conference will be selected.




































































































ACCBig TenPAC-12SEC
College
Attended
Projected
Draft
Position
College
Attended
Projected
Draft
Position
College
Attended
Projected
Draft
Position
College
Attended
Projected
Draft
Position
Florida State4Iowa9USC1Florida2
Clemson5Michigan St10Oregon6Alabama3
Miami7Nebraska14Oregon15Kentucky8
Georgia Tech13Minnesota27Washington17Texas A&M11
Louisville18Wisconsin28UCLA19Missouri12
Wake Forest20UCLA22Alabama16
Florida State21Stanford23LSU25
Virginia Tech26Arizona St24LSU29

Use the Kruskal-Wallis test to determine if there is any difference among NFL teams for players from these four conferences. Use ? = 0.05.

State the null and alternative hypotheses.




H
0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC


H
a: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC
H
0: The populations for the mock draft positions of the four conferences are not all identical.

H
a: The populations for the mock draft positions of the four conferences are identical.H
0: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC


H
a: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC
H
0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC


H
a: MedianACC > MedianBig Ten <>PAC-12 > MedianSEC
H
0: The populations for the mock draft positions of the four conferences are identical.

H
a: The populations for the mock draft positions of the four conferences are not all identical.



Find the value of the test statistic. (Round your answer to two decimal places.)


What is thep-value? (Round your answer to three decimal places.)


p-value =
Jun 10, 2022
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