Suppose a sample of 20 engineers employed with a company for three years has been rank ordered with respect to managerial potential. Some of the engineers attended the company's management-development course, others attended an off-site management-development program at a local university, and the remainder did not attend any program. Use the following rankings. and a 0.025 to test for a significant difference in the managerial potential of the three groups. No Program 20 7 8 13. 11 14 Ho: Median NP Median ■ H: Median NP Median Company O Ho: Median NP Median 15 16 19 18 6 17 12 Medianos Medianos Medianos H₂: Median NP < Median > Medianos Off-Site 9 O Ho: Median Np Median Medianos H₁: Median NP Median - Medianos 2 4 State the null and alternative hypotheses. O Ho: All populations of managerial potential ratings are identical. H: Not all populations of managerial potential ratings are identical. 3 1 10 5 O Ho: Not all populations of managerial potential ratings are identical. H: All populations of managerial potential ratings are identical. Find the value of the test statistic. (Round your answer to two decimal places.) 10.27 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.001 x State your conclusion. Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups. Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups.

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Suppose a sample of 20 engineers employed with a company for three years has been rank ordered with respect to managerial
potential. Some of the engineers attended the company's management-development course, others attended an off-site
management-development program at a local university, and the remainder did not attend any program. Use the following rankings
and a = 0.025 to test for a significant difference in the managerial potential of the three groups.
No Program
20
7
8
13
11
14
Company
O Ho: Median NP Median
Ha: Median NP + Median
15
16
19
18
6
17
12
Medianos
+ Medianos
O Ho: Median NP = Median
Medianos
H₂: Median NP < Median > Medianos
Off-Site
9
O Ho: Median NP Median Medianos
H₂: Median NP = Median = Medianos
2
4
3
State the null and alternative hypotheses.
O Ho: All populations of managerial potential ratings are identical.
H: Not all populations of managerial potential ratings are identical.
1
10
5
OH: Not all populations of managerial potential ratings are identical.
H₂: All populations of managerial potential ratings are identical.
Find the value of the test statistic. (Round your answer to two decimal places.)
10.27
X
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.001
X
State your conclusion.
● Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the managerial potential of the
three groups.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the managerial
potential of the three groups.
O Reject Ho. There is not ficient evide to conclude
the three groups.
there is
ficant difference the managerial potenti of
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the managerial potential of
the three groups.
Transcribed Image Text:Suppose a sample of 20 engineers employed with a company for three years has been rank ordered with respect to managerial potential. Some of the engineers attended the company's management-development course, others attended an off-site management-development program at a local university, and the remainder did not attend any program. Use the following rankings and a = 0.025 to test for a significant difference in the managerial potential of the three groups. No Program 20 7 8 13 11 14 Company O Ho: Median NP Median Ha: Median NP + Median 15 16 19 18 6 17 12 Medianos + Medianos O Ho: Median NP = Median Medianos H₂: Median NP < Median > Medianos Off-Site 9 O Ho: Median NP Median Medianos H₂: Median NP = Median = Medianos 2 4 3 State the null and alternative hypotheses. O Ho: All populations of managerial potential ratings are identical. H: Not all populations of managerial potential ratings are identical. 1 10 5 OH: Not all populations of managerial potential ratings are identical. H₂: All populations of managerial potential ratings are identical. Find the value of the test statistic. (Round your answer to two decimal places.) 10.27 X Find the p-value. (Round your answer to three decimal places.) p-value = 0.001 X State your conclusion. ● Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups. O Reject Ho. There is not ficient evide to conclude the three groups. there is ficant difference the managerial potenti of O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups.
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