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 Projected Draft Position College Attended Projected Draft Position Attended Florida State 2 Iowa 7 USC 4 Florida 1 Clemson 5 Michigan St 10 Oregon 8 3 Alabama Miami 6 Nebraska 13. Oregon 15 Kentucky 9 Minnesota 11 26 Washington 16 Texas A&M 12 Georgia Tech Louisville 18 Wisconsin 28 UCLA 19 Missouri 14 Wake Forest 20 UCLA 22 Alabama 17 Florida State 21 Stanford 23 LSU 25 Virginia Tech 27 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. 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. OH! = Median PAC-12 Median sec Median Acc Mediani Ten H: Median Median, Big Ten Median PAC-12> Median SEC 4 ACC OH: 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 Median Acc = Medianig Ten Median PAC-12 Mediansec Ho! H: Median, Median Big Ten Median PAC-12 Medianec ACC O Median AC-12 Median Sec H₂! Median, H: Median, *Mediani Ten Mediana Ten MedianPAC-12 Median sec ACC 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? ACC

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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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
7
USC
4
Florida
1
Clemson
5
Michigan St
10
Oregon
8
Alabama
3
Miami
6
Nebraska
13
Oregon
15
Kentucky
9
Georgia Tech
11
Minnesota
26
Washington
16
Texas A&M
12
Louisville
18
Wisconsin
28
UCLA
19
Missouri
14
Wake Forest
20
UCLA
22
Alabama
17
Florida State
21
Stanford
23
LSU
25
Virginia Tech
27
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 α = 0.05.
State the null and alternative hypotheses.
ⒸH: The populations for the mock draft positions of the four conferences are identical.
H₂: The populations for the mock draft positions of the four conferences are not all identical.
OH: Median
ACC
= Median,
Big Ten
> Median,
Big Ten
= Median PAC-12 = Median Sec
<Median PAC-12
> Median SEC
H₂: Median Acc
OH: 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.
OH: Median,
= Median PAC-12 = Median SEC
H: Median,
= Median,
ACC
Big Ten
# Median,
ACC
Big Ten
Median,
#Median PAC-12 * Median SEC
#Median, * Median SEC
OH: Median Acc
H: Median = Median
"Big Ten
Big Ten
PAC-12
= Median PAC-12
= Median SEC
'ACC
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?
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 Position College Attended Projected Draft Position College Attended Projected Draft Position College Attended Projected Draft Position Florida State 2 Iowa 7 USC 4 Florida 1 Clemson 5 Michigan St 10 Oregon 8 Alabama 3 Miami 6 Nebraska 13 Oregon 15 Kentucky 9 Georgia Tech 11 Minnesota 26 Washington 16 Texas A&M 12 Louisville 18 Wisconsin 28 UCLA 19 Missouri 14 Wake Forest 20 UCLA 22 Alabama 17 Florida State 21 Stanford 23 LSU 25 Virginia Tech 27 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 α = 0.05. State the null and alternative hypotheses. ⒸH: The populations for the mock draft positions of the four conferences are identical. H₂: The populations for the mock draft positions of the four conferences are not all identical. OH: Median ACC = Median, Big Ten > Median, Big Ten = Median PAC-12 = Median Sec <Median PAC-12 > Median SEC H₂: Median Acc OH: 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. OH: Median, = Median PAC-12 = Median SEC H: Median, = Median, ACC Big Ten # Median, ACC Big Ten Median, #Median PAC-12 * Median SEC #Median, * Median SEC OH: Median Acc H: Median = Median "Big Ten Big Ten PAC-12 = Median PAC-12 = Median SEC 'ACC 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?
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