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
3	1	18	19
12	9	17	4
8	5	10	13
15	2	20	7
14	11	16	6

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 a difference in the quality of the training for the programs.
H_a: 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.
H_a: There is a difference in the quality of the training for the programs.     H₀: Median_A = Median_B = Median_C = Median_D
H_a: Median_A > Median_B < Median_C > Median_DH₀: Median_A = Median_B = Median_C = Median_D
H_a: Median_A ≠ Median_B ≠ Median_C ≠ Median_DH₀: Median_A ≠ Median_B ≠ Median_C ≠ Median_D
H_a: Median_A = Median_B = Median_C = Median_D

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

test statistic =

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

p-value =

State your conclusion.

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.

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 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.

Answer 1