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
icon
Related questions
Question
100%
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax