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. 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 4 Iowa 9 USC 1 Florida 2 Clemson 5 Michigan St 10 Oregon 6 Alabama 3 Miami 7 Nebraska 14 Oregon 15 Kentucky 8 Georgia Tech 13 Minnesota 27 Washington 17 Texas A&M 11 Louisville 18 Wisconsin 28 UCLA 19 Missouri 12 Wake Forest 20     UCLA 22 Alabama 16 Florida State 21     Stanford 23 LSU 25 Virginia Tech 26     Arizona St 24 LSU 29 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. H0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC Ha: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSECH0: The populations for the mock draft positions of the four conferences are not all identical. Ha: The populations for the mock draft positions of the four conferences are identical.    H0: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC Ha: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSECH0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC Ha: MedianACC > MedianBig Ten < MedianPAC-12 > MedianSECH0: The populations for the mock draft positions of the four conferences are identical. Ha: 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 the p-value? (Round your answer to three decimal places.) p-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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.
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 4 Iowa 9 USC 1 Florida 2
Clemson 5 Michigan St 10 Oregon 6 Alabama 3
Miami 7 Nebraska 14 Oregon 15 Kentucky 8
Georgia Tech 13 Minnesota 27 Washington 17 Texas A&M 11
Louisville 18 Wisconsin 28 UCLA 19 Missouri 12
Wake Forest 20     UCLA 22 Alabama 16
Florida State 21     Stanford 23 LSU 25
Virginia Tech 26     Arizona St 24 LSU 29
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.
H0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC
Ha: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSECH0: The populations for the mock draft positions of the four conferences are not all identical.
Ha: The populations for the mock draft positions of the four conferences are identical.    H0: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC
Ha: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSECH0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC
Ha: MedianACC > MedianBig Ten < MedianPAC-12 > MedianSECH0: The populations for the mock draft positions of the four conferences are identical.
Ha: 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 the p-value? (Round your answer to three decimal places.)
p-value = 
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