Question

In: Statistics and Probability

The National Football League (NFL) holds its annual draft of the nation's best college football players...

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

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.)

Solutions

Expert Solution

Based on above calculation answers are as follows:

1. Test Statistics = 0.60

2. P-value = 0.896 (Obtained using online calculator for Chi-Square = 0.604 and df = 3. Screenshot attached)

3. There is not enough evidence to claim that there is difference among NFL teams for players from these four conferences


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