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 A B C D 3 2 20 18 15 6 17 4 8 1 10 13 12 5 19 7 11 14 16 9 Use ? = 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. -H0: MedianA = MedianB = MedianC = MedianD Ha: MedianA > MedianB < MedianC > MedianD -H0: MedianA = MedianB = MedianC = MedianD Ha: MedianA ≠ MedianB ≠ MedianC ≠ MedianD     -H0: MedianA ≠ MedianB ≠ MedianC ≠ MedianD Ha: MedianA = MedianB = MedianC = MedianD -H0: There is a difference in the quality of the training for the programs. Ha: There is no difference in the quality of the training for the programs. -H0: There is no difference in the quality of the training for the programs. Ha: 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.) ANSWER=??   Find the p-value. (Round your answer to three decimal places.) p-value = ??   State your conclusion. -Reject H0. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. -Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.     -Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. -Reject H0. 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
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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.
Course
A B C D
3 2 20 18
15 6 17 4
8 1 10 13
12 5 19 7
11 14 16 9
Use ? = 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.
-H0: MedianA = MedianB = MedianC = MedianD
Ha: MedianA > MedianB < MedianC > MedianD
-H0: MedianA = MedianB = MedianC = MedianD
Ha: MedianA ≠ MedianB ≠ MedianC ≠ MedianD    
-H0: MedianA ≠ MedianB ≠ MedianC ≠ MedianD
Ha: MedianA = MedianB = MedianC = MedianD
-H0: There is a difference in the quality of the training for the programs.
Ha: There is no difference in the quality of the training for the programs.
-H0: There is no difference in the quality of the training for the programs.
Ha: 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.)
ANSWER=??
 
Find the p-value. (Round your answer to three decimal places.)
p-value = ??
 
State your conclusion.
-Reject H0. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
-Do not reject H0. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.    
-Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.
-Reject H0. 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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