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 1 Iowa 7 USC 2 Florida 3 Clemson 5 Michigan St 10 Oregon 9 Alabama 4 Miami 6 Nebraska 12 Oregon 15 Kentucky 8 Georgia Tech 11 Minnesota 26 Washington 17 Texas A&M 13 Louisville 19 Wisconsin 29 UCLA 18 Missouri 14 Wake Forest 20 UCLA 21 Alabama 16 Florida State 23 Stanford 22 LSU 25 Virginia Tech 28 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 ? = 0.05. State the null and alternative hypotheses. H0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC Ha: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC H0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC Ha: MedianACC > MedianBig Ten < MedianPAC-12 > MedianSEC H0: 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. H0: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC Ha: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC H0: 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. 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? (A) Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. (B) Reject H0. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. (C) Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. (D) Reject H0. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.

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 1 Iowa 7 USC 2 Florida 3 Clemson 5 Michigan St 10 Oregon 9 Alabama 4 Miami 6 Nebraska 12 Oregon 15 Kentucky 8 Georgia Tech 11 Minnesota 26 Washington 17 Texas A&M 13 Louisville 19 Wisconsin 29 UCLA 18 Missouri 14 Wake Forest 20 UCLA 21 Alabama 16 Florida State 23 Stanford 22 LSU 25 Virginia Tech 28 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 ? = 0.05. State the null and alternative hypotheses. H0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC Ha: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC H0: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC Ha: MedianACC > MedianBig Ten < MedianPAC-12 > MedianSEC H0: 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. H0: MedianACC ≠ MedianBig Ten ≠ MedianPAC-12 ≠ MedianSEC Ha: MedianACC = MedianBig Ten = MedianPAC-12 = MedianSEC H0: 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. 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? (A) Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. (B) Reject H0. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. (C) Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences. (D) Reject H0. 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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Description: 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

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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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	1	Iowa	7	USC	2	Florida	3
Clemson	5	Michigan St	10	Oregon	9	Alabama	4
Miami	6	Nebraska	12	Oregon	15	Kentucky	8
Georgia Tech	11	Minnesota	26	Washington	17	Texas A&M	13
Louisville	19	Wisconsin	29	UCLA	18	Missouri	14
Wake Forest	20			UCLA	21	Alabama	16
Florida State	23			Stanford	22	LSU	25
Virginia Tech	28			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 ? = 0.05.

State the null and alternative hypotheses.

H₀: Median_ACC = Median_{Big Ten} = Median_PAC-12 = Median_SEC
H_a: Median_ACC ≠ Median_{Big Ten} ≠ Median_PAC-12 ≠ Median_SEC

H₀: Median_ACC = Median_{Big Ten} = Median_PAC-12 = Median_SEC
H_a: Median_ACC > Median_{Big Ten} < Median_PAC-12 > Median_SEC

H₀: The populations for the mock draft positions of the four conferences are identical.
H_a: The populations for the mock draft positions of the four conferences are not all identical.

H₀: Median_ACC ≠ Median_{Big Ten} ≠ Median_PAC-12 ≠ Median_SEC
H_a: Median_ACC = Median_{Big Ten} = Median_PAC-12 = Median_SEC

H₀: The populations for the mock draft positions of the four conferences are not all identical.
H_a: The populations for the mock draft positions of the four conferences are 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?

(A) Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.

(B) Reject H₀. There is not sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.

(C) Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference among NFL teams for players from these four conferences.

(D) Reject H₀. 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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