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.
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 | 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
Ha: MedianA > MedianB < MedianC > MedianD
-H0: MedianA = MedianB = MedianC = MedianD
Ha: MedianA ≠ MedianB ≠ MedianC ≠ MedianD
Ha: MedianA ≠ MedianB ≠ MedianC ≠ MedianD
-H0: MedianA ≠ MedianB ≠ MedianC ≠ MedianD
Ha: 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.
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.
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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