Question

The 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.

ACC		Big Ten		PAC-12		SEC
College Attended	Projected Draft Position	College Attended	Projected Draft Position	College Attended	Projected Draft Position	College Attended	Projected Draft Position
Florida State	1	Iowa	7	USC	4	Florida	2
Clemson	5	Michigan St	10	Oregon	6	Alabama	3
Miami	9	Nebraska	13	Oregon	15	Kentucky	8
Georgia Tech	12	Minnesota	28	Washington	17	Texas A&M	11
Louisville	16	Wisconsin	29	UCLA	18	Missouri	14
Wake Forest	20			UCLA	21	Alabama	19
Florida State	22			Stanford	23	LSU	25
Virginia Tech	27			Arizona St	24	LSU	26

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

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

Kruskal-Wallis Test
	Sample 1	Sample 2	Sample 3	Sample 4
median	14	13	17.5	12.5
rank sum	112	87	128	108
count	8	5	8	8	29
r^2/n	1568	1513.8	2048	1458	6587.8
H-stat					0.866207
H-ties					0.866207
df					3
p-value					0.833574
alpha					0.05
sig					no

value of test stat = 0.87

p value = 0.834