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 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 5 2 18 17 14 10 16 7 3 9 15 13 1 20 6 11 12 19 8 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: Median H: Median Median Median Median Median Median Median Ho: Median H₂: Median Median Median ⒸH: Median - Median H₁: Median > Median Median Median Median Median Median Median < Median > Median H: 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. ⒸH: There is no difference in the quality of the training for the programs. H: There is a difference in the quality of the training for the programs. Find the value of the test statistic. (Round your answer to two decimal places.) 4.29 x Find the p-value. (Round your answer to three decimal places.) p-value = 0.021 xX State your conclusion.

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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
5
14
7
13
11
Course
B
с
D
2 18 17
10 16 4
1
3 9 15
20 6
12 19 8
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.
OH: Median Median Median Median
H₂: Median
= Median Median Median
Ho: Median
Median Median
H₂: Median Median * Median
Median
Median
OH: Median = Median = Median
Median
H₂: Median > Median < Median > Median
ⒸH: 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.
Ⓒ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.
Find the value of the test statistic. (Round your answer to two decimal places.)
4.29
X
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.021
x
State your conclusion.
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 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 5 14 7 13 11 Course B с D 2 18 17 10 16 4 1 3 9 15 20 6 12 19 8 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. OH: Median Median Median Median H₂: Median = Median Median Median Ho: Median Median Median H₂: Median Median * Median Median Median OH: Median = Median = Median Median H₂: Median > Median < Median > Median ⒸH: 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. Ⓒ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. Find the value of the test statistic. (Round your answer to two decimal places.) 4.29 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.021 x State your conclusion.
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