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 Course B 5 17 19 13 6 18 3 15 с D 4 10 12 14 2 20 8 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. O 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: MedianA= Mediang= Medianc = Medianp H₂: Median > Mediang < Medianc > Medianp O Ho: Median Median Median + Median H₂: MedianA = Mediang= Medianc = Medianp 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. O Ho: MedianA = Mediang = Medianç = Medianp Ha: Median Median Median Median 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 three decimal places.) p-value = 0.028 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. O 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 to 20 in terms of supervisory skills. rank of 1 was assigned to the
employee with the best supervisory skills. Suppose the ranks are as shown.
A
1
Course
5 17 19
13 6 18 3
4 10 12
14 2 20 8
9
B C D
15 11 16 7
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.
O 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: MedianA = Mediang= Medianc = Medianp
Ha: Median > Median < Medianc > Medianp
O Ho: Median + Median Median + Median
H₂: MedianA = Mediang = Medianc = Medianp
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.
O Ho: MedianA = Mediang = Medianc = Median
H₂: Median
Median Median
Median
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 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.
O 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.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. 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 to 20 in terms of supervisory skills. rank of 1 was assigned to the employee with the best supervisory skills. Suppose the ranks are as shown. A 1 Course 5 17 19 13 6 18 3 4 10 12 14 2 20 8 9 B C D 15 11 16 7 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. O 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: MedianA = Mediang= Medianc = Medianp Ha: Median > Median < Medianc > Medianp O Ho: Median + Median Median + Median H₂: MedianA = Mediang = Medianc = Medianp 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. O Ho: MedianA = Mediang = Medianc = Median H₂: Median Median Median Median 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 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. O 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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