In: Statistics and Probability
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.)
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