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 5 116 20 15 8 17 4 10 2 9 14 13 3 19 6 11 12 18 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. Ho: Median + Median + Median + Median H: Median = Median = Median = Median D Ho: 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. Ho: 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. Ho: Median H: Median Median = Median = Median D Median # Median c + Median D Ho: Median = Median = Median = Median H: Median > Median Median > Mediano 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. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. Reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Need test statistic and p-value please
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
5
116
20
15
8
17
4
10
2 9
14
13
3 19
6
11
12 18
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.
Ho: Median + Median + Median + Median
H: Median = Median = Median = Median D
Ho: 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.
Ho: 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.
Ho: Median
H: Median
Median = Median = Median D
Median # Median c + Median D
Ho: Median = Median = Median = Median
H: Median > Median Median > Mediano
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.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of
training provided by the four programs.
Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training
provided by the four programs.
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training
provided by the four programs.
Reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training
provided by the four programs.
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. Course A B C D 5 116 20 15 8 17 4 10 2 9 14 13 3 19 6 11 12 18 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. Ho: Median + Median + Median + Median H: Median = Median = Median = Median D Ho: 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. Ho: 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. Ho: Median H: Median Median = Median = Median D Median # Median c + Median D Ho: Median = Median = Median = Median H: Median > Median Median > Mediano 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. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference among the quality of training provided by the four programs. Reject Ho. 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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