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 il 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 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-1 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 Iowa 7 USC Florida Clemson Michigan St 10 Oregon 9 Alabama 4 Miami i 8 Nebraska 12 Oregon 15 Kentucky 6 Georgia Tech 13 Minnesota 26 Washington 16 Texas A&M 11 Louisville 18 Wisconsin 28 UCLA 19 Missouri i 14 Wake Forest 20 UCLA 21 Alabama 17 Florida State 23 Stanford 22 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 a = 0.05. State the null and alternative hypotheses. O Ho: MedianAcc - Medianaig Ten = MedianPAC-12 = MedianSEC H3: Median acc * MedianBig Ten * Median PAC-12 * MedianSEC %2. O Ho: The populations for the mock draft positions of the four conferences are not all identical. H: The populations for the mock draft positions of the four conferences are identical. O Ho: Medianacc = Median Big Ten = MedianpAC-12 = MediansEC H3: Median acc > MedianBig Ten < MedianpAC-12 > MediansEC O Ho: Median ACc * Median Big Ten * MedianPAC-12 * MedianSEc H: Median acc = MedianBig Ten = Median PAC-12 = MedianSEc %3D O Ho: The populations for the mock draft positions of the four conferences are identical. The ponulatione for the meck drafe pocitione of the four conforences are pot all identical

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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
РАС-12
SEC
College
Attended
Projected
Draft
College
Attended
Projected
Draft
College
Attended
Projected
Draft
College
Attended
Projected
Draft
Position
Position
Position
Position
Florida State
Iowa
7
USC
Florida
1
Clemson
Michigan St
10
Oregon
9.
Alabama
4
Miami
8
Nebraska
12
Oregon
15
Kentucky
6.
Georgia Tech
13
Minnesota
26
Washington
16
Texas A&M
11
Louisville
18
Wisconsin
28
UCLA
19
Missouri
14
Wake Forest
20
UCLA
21
Alabama
17
Florida State
23
Stanford
22
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 a = 0.05.
State the null and alternative hypotheses.
O Ho: MedianAcC
Median Big Ten
MedianpAC-12 = MedianSEC
%3D
Ha: Median
+ Median Big Ten
+ Median PAC-12 + Median SEC
ACC
Ho: The populations for the mock draft positions of the four conferences are not all identical.
: The populations for the mock draft positions of the four conferences are identical.
Ha:
Ho: Medianacc = MedianBig Ten
Ha: Mediana
Median pAC-12 = MediansEC
%D
%D
> MedianBig Ten
< MedianpAC-12 > MedianSEC
ACC
Ho: Medianacc + Median Big Ten
+ MedianPAC-12 + MedianSEC
H: Median aCC
Median Big Ten
MedianpAC-12
MedianSEC
%3D
: The populations for the mock draft positions of the four conferences are identical.
Ho
H: The populations for the mock draft positions of the four conferences are not all identical.
Transcribed Image Text: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 РАС-12 SEC College Attended Projected Draft College Attended Projected Draft College Attended Projected Draft College Attended Projected Draft Position Position Position Position Florida State Iowa 7 USC Florida 1 Clemson Michigan St 10 Oregon 9. Alabama 4 Miami 8 Nebraska 12 Oregon 15 Kentucky 6. Georgia Tech 13 Minnesota 26 Washington 16 Texas A&M 11 Louisville 18 Wisconsin 28 UCLA 19 Missouri 14 Wake Forest 20 UCLA 21 Alabama 17 Florida State 23 Stanford 22 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 a = 0.05. State the null and alternative hypotheses. O Ho: MedianAcC Median Big Ten MedianpAC-12 = MedianSEC %3D Ha: Median + Median Big Ten + Median PAC-12 + Median SEC ACC Ho: The populations for the mock draft positions of the four conferences are not all identical. : The populations for the mock draft positions of the four conferences are identical. Ha: Ho: Medianacc = MedianBig Ten Ha: Mediana Median pAC-12 = MediansEC %D %D > MedianBig Ten < MedianpAC-12 > MedianSEC ACC Ho: Medianacc + Median Big Ten + MedianPAC-12 + MedianSEC H: Median aCC Median Big Ten MedianpAC-12 MedianSEC %3D : The populations for the mock draft positions of the four conferences are identical. Ho H: 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
What is your conclusion?
Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
0'
Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Reject Ho. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
Transcribed Image Text: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 What is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. 0' Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. Reject Ho. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.
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