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 lowa USc 4 Florida 2 Clemson Michigan St 10 Oregon 6. Alabama Miami Nebraska 14 Oregon 15 Kentucky Georgia Tech 11 Minnesota 26 Washington 18 Texas ASM 12 Louisville 17 Wisconsin 27 UCLA 19 Missouri 13 Wake Forest 20 UCLA 22 Alabama 16 Florida State 21 Stanford 23 LSU 25 Virginia Tech 28 Arizona St 24 LSU 29 Use the Kruskal-Walis test to determine if there is any difference among NFL teams for players from these four conferences. Use a-0.0s. State the null and alternative hypotheses. H: The populations for the mock draft positions of the four conferences are identical. H: 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 not all identical. H: The populations for the mock draft positions of the four conferences are identical. H Medianace* Median O H Medianacc - Mediang Ten - MediangaC-12 " Mediangec O "g Ten * Hedanpac-12* Mediansee Hoi Medianace - Median Ten - MedianaC-12- Mediangee H,: Medianacc > Median Ten Mediangac-12> MediangeEC Ho: Medianacc - Mediang Tan- MedianpaAC-12 Median gec H: Medianacc Mediang Ten * MediangaC-12* Mediangec c

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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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
PAC-12
SEC
College
Attended
Projected
Draft
College
Attended
Projected
Draft
Position
College
Attended
Projected
Draft
College
Attended
Projected
Draft
Position
Position
Position
Florida State
1
Iowa
9
USC
4
Florida
Clemson
5
Michigan St
10
Oregon
Alabama
3
Miami
8
Nebraska
14
Oregon
15
Kentucky
7
Georgia Tech
11
Minnesota
26
Washington
18
Texas A&M
12
Louisville
17
Wisconsin
27
UCLA
19
Missouri
13
Wake Forest
20
UCLA
22
Alabama
16
Florida State
21
Stanford
23
LSU
25
Virginia Tech
28
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 a = 0.05.
State the null and alternative hypotheses.
O H,: The populations for the mock draft positions of the four conferences are identical.
H: The populations for the mock draft positions of the four conferences are not all identical.
O H,: 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 * Mediangig Ten * MedianpAC-12 * MedianseC
H: Medianacc = Mediangig Ten = MedianpAC-12 = MediangEC
O Ho: MedianAcc = Mediangig Ten
H: Medianacc > Mediangia Ten MedianpAC-12 > MedianSEC
= Median PAC-12
= Median SEC
O Ho: Medianacc = Mediangig Ten = MedianpAC-12 = MediansEC
H: Median acc * Mediangig
* MedianpAC-12 * Mediansec
Ten
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 =
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 PAC-12 SEC College Attended Projected Draft College Attended Projected Draft Position College Attended Projected Draft College Attended Projected Draft Position Position Position Florida State 1 Iowa 9 USC 4 Florida Clemson 5 Michigan St 10 Oregon Alabama 3 Miami 8 Nebraska 14 Oregon 15 Kentucky 7 Georgia Tech 11 Minnesota 26 Washington 18 Texas A&M 12 Louisville 17 Wisconsin 27 UCLA 19 Missouri 13 Wake Forest 20 UCLA 22 Alabama 16 Florida State 21 Stanford 23 LSU 25 Virginia Tech 28 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 a = 0.05. State the null and alternative hypotheses. O H,: The populations for the mock draft positions of the four conferences are identical. H: The populations for the mock draft positions of the four conferences are not all identical. O H,: 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 * Mediangig Ten * MedianpAC-12 * MedianseC H: Medianacc = Mediangig Ten = MedianpAC-12 = MediangEC O Ho: MedianAcc = Mediangig Ten H: Medianacc > Mediangia Ten MedianpAC-12 > MedianSEC = Median PAC-12 = Median SEC O Ho: Medianacc = Mediangig Ten = MedianpAC-12 = MediansEC H: Median acc * Mediangig * MedianpAC-12 * Mediansec Ten 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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