A large corporation sends many of its first-level managers to an off-site supervisory skills training course. Four different management development centers offer this course. The director of human resources would like to know whether there is a difference among the quality of training provided at the four centers. An independ random sample of five employees was chosen from each training center. The employees were then ranked 1 to 20 in terms of supervisory skills. A rank of 1 was assigned to the employee with the best supervisory skills. Suppose the ranks are as shown. Course ABCD 15 17 19 13 6 18 3 94 10 12 14 2 20 8 15 11 16 7 Use a 0.05 and test whether there is a significant difference among the quality of training provided by the four programs. State the null and alternative hypotheses. Ho: There is no difference in the quality of the training for the programs. H₂: There is a difference in the quality of the training for the programs. O Ho: Median Mediang - Mediane - Median H,: Median > Mediang < Mediane > Median O Ho: Median Mediang Median Median 15 Median H,: Median Median, Mediane Median OH: There is a difference in the quality of the training for the programs. H.: There is no difference in the quality of the training for the programs. O Ho: Median, Mediang - Mediane - Median H: Median Median Median Median Find the value of the test statistic. (Round your answer to two decimal places.) 8.14 Find the p-value. (Round your answer to three decimal places.) D-value = (0.028x State your conclusion. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
A large corporation sends many of its first-level managers to an off-site supervisory skills training course. Four different management development centers offer this course. The director of human resources would like to know whether there is a difference among the quality of training provided at the four centers. An independ random sample of five employees was chosen from each training center. The employees were then ranked 1 to 20 in terms of supervisory skills. A rank of 1 was assigned to the employee with the best supervisory skills. Suppose the ranks are as shown. Course ABCD 15 17 19 13 6 18 3 94 10 12 14 2 20 8 15 11 16 7 Use a 0.05 and test whether there is a significant difference among the quality of training provided by the four programs. State the null and alternative hypotheses. Ho: There is no difference in the quality of the training for the programs. H₂: There is a difference in the quality of the training for the programs. O Ho: Median Mediang - Mediane - Median H,: Median > Mediang < Mediane > Median O Ho: Median Mediang Median Median 15 Median H,: Median Median, Mediane Median OH: There is a difference in the quality of the training for the programs. H.: There is no difference in the quality of the training for the programs. O Ho: Median, Mediang - Mediane - Median H: Median Median Median Median Find the value of the test statistic. (Round your answer to two decimal places.) 8.14 Find the p-value. (Round your answer to three decimal places.) D-value = (0.028x State your conclusion. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A large corporation sends many of its first-level managers to an off-site supervisory skills training course. Four different management development centers offer this course. The director of human resources would like to know whether there is a difference among the quality of training provided at the four centers. An independent
random sample of five employees was chosen from each training center. The employees were then ranked 1 to 20 in terms of supervisory skills. A rank of 1 was assigned to the employee with the best supervisory skills. Suppose the ranks are as shown.
A
1
9
5 17 19
13 6 18 3
4 10 12
14
15
Course
B
O Ho: Median
H₂: Median
с D
2
O Ho: Median
H₂: Median
20 8
Use α = 0.05 and test whether there is a significant difference among the quality of training provided by the four programs.
State the null and alternative hypotheses.
11 16 7
Ho: There is no difference in the quality of the training for the programs.
H₂: There is a difference in the quality of the training for the programs.
Mediang = Median
> Median < Median
Medianp
> Median
O Ho: Median
Median Median
Median
H₂: Median = Median = Medianc = Median
O Ho: There is a difference in the quality of the training for the programs.
H₂: There is no difference in the quality of the training for the programs.
Mediang = Medianc = Medianp
Median
# Median Median
Find the value of the test statistic. (Round your answer to two decimal places.)
8.14
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.028
x
State your conclusion.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
● Reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
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Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.)
3.94
x
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0280
X
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