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 t 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 14 Course B C 5 17 19 D 13 6 18 3 4 10 12 2 20 8 15 11 16 7 O Ho: Median H: Median 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 = Median Median Medianp H: Median > Median < Median > Median Median Median Median Median Median Median O Ho: 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 Median Median H₁: Median Median Median Median Median Find the value of the test statistic. (Round your answer to two decimal places.) 4.00 x Find the p-value. (Round your answer to three decimal places.) p-value 0.027 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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6th Edition
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Author:Amos Gilat
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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 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
13
9
Course
B
с
D
5 17 19
6 18 3
4 10 12
14 2 20 8
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 = Median = Median = Median
H₂: Median > ediang
edianc> dianp
O Ho: Median + Median
H₂: Median = Median
Median + Median
= Median = Median
O Ho: There is a difference in the quality of the training for the programs.
H₂: There
no difference in the quality of the training for the programs.
O Ho: MedianA = Median = Median = Median
H₂: Median
Median Median
Median
Find the value of the test statistic. (Round your answer to two decimal places.)
4.00
X
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.027
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: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 13 9 Course B с D 5 17 19 6 18 3 4 10 12 14 2 20 8 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 = Median = Median = Median H₂: Median > ediang edianc> dianp O Ho: Median + Median H₂: Median = Median Median + Median = Median = Median O Ho: There is a difference in the quality of the training for the programs. H₂: There no difference in the quality of the training for the programs. O Ho: MedianA = Median = Median = Median H₂: Median Median Median Median Find the value of the test statistic. (Round your answer to two decimal places.) 4.00 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.027 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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