Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who use the programs provided the following data. Program A B C 540 450 600 400 540 610 490 400 580 510 420 490 490 480 590 620 360 630 550 560 Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Us ՈՈՒ
Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who use the programs provided the following data. Program A B C 540 450 600 400 540 610 490 400 580 510 420 490 490 480 590 620 360 630 550 560 Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Us ՈՈՒ
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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![Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who used
the programs provided the following data.
A
540
Program
B
с
450 600
400 540 610
620
490 400 580
510 420 490
490 480 590
360 630
550 560
Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use
α = 0.05.
State the null and alternative hypotheses.
O Ho: Not all populations of test scores are identical.
H₂: All populations of test scores are identical.
O Ho: All populations of test scores are identical.
H: Not all populations of test scores are identical.
O Ho: Median + Median + Median
H₂: Median = Median = Median
O Ho: MedianA = Median = Median
H₂: Median Median Median
#
O Ho: Median = Median = Median
H₂: Median > Median < Medianc
Find the value of the test statistic. (Round your answer to two decimal places.)
9.06
X
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.011
State your conclusion.
O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the three test
preparation programs.
Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among the three test
preparation programs.
O Reject Ho. There is sufficient evidence to conclude that there is a significant difference among the three test preparation
programs.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the three test
preparation programs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9402dae5-21a3-4dc7-9cf5-c78b86597c29%2F1633c2f7-90f1-4f87-afd5-7d266cfe0442%2Fnra9xqj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Three admission test preparation programs are being evaluated. Suppose the scores obtained by a sample of 20 people who used
the programs provided the following data.
A
540
Program
B
с
450 600
400 540 610
620
490 400 580
510 420 490
490 480 590
360 630
550 560
Use the Kruskal-Wallis test to determine whether there is a significant difference among the three test preparation programs. Use
α = 0.05.
State the null and alternative hypotheses.
O Ho: Not all populations of test scores are identical.
H₂: All populations of test scores are identical.
O Ho: All populations of test scores are identical.
H: Not all populations of test scores are identical.
O Ho: Median + Median + Median
H₂: Median = Median = Median
O Ho: MedianA = Median = Median
H₂: Median Median Median
#
O Ho: Median = Median = Median
H₂: Median > Median < Medianc
Find the value of the test statistic. (Round your answer to two decimal places.)
9.06
X
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.011
State your conclusion.
O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the three test
preparation programs.
Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among the three test
preparation programs.
O Reject Ho. There is sufficient evidence to conclude that there is a significant difference among the three test preparation
programs.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the three test
preparation programs.
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