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You may need to use the appropriate technology to answer this question. A large corporation sends...

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
A B C D
2 3 19 17
15 6 18 1
10 5 9 11
14 4 20 8
12 13 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.

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.H0: MedianA = MedianB = MedianC = MedianD
Ha: MedianA ≠ MedianB ≠ MedianC ≠ MedianD    H0: MedianA ≠ MedianB ≠ MedianC ≠ MedianD
Ha: MedianA = MedianB = MedianC = MedianDH0: 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: MedianA = MedianB = MedianC = MedianD
Ha: MedianA > MedianB < MedianC > MedianD

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

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.

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 sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.

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