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.

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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
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.
Activate Windows
Go to Settings to activate Windows.
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. Activate Windows Go to Settings to activate Windows.
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Follow-up Question
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
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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