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 Company Off-Site 20 OH: Media 7 13 11 15 16 H: Medianp Median 19 18 6 17 12 Media Medios Medianos OH: Median Mediane Medianos M H: Median Median > Medianos 9 2 O Ho: Medianp Mediane Medianos H₂: Medianp - Mediane-Medianos 4 State the null and alternative hypotheses. Ho: All populations of managerial potential ratings are identical. H.: Not all populations of managerial potential ratings are identical. 3 1 10 5 He: 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.) Find the p-value. (Round your answer to three decimal places.) D-value-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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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: Medianp = Median
15
16
19
=
18.
6
17
12
Ho: Median NP = Median = Medianos
H₂: Median NP * Median # Medianos
Medianos
H₂: Median NP < Median > Medianos
Off-Site
9
lo Ho: Medianp * Median + Medianos
#
H₂: Median NP = Median = Medianos
2
4
State the null and alternative hypotheses.
Ho: All populations of managerial potential ratings are identical.
H₂: Not all populations of managerial potential ratings are identical.
3
1
10
5
O Ho: 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.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
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: Medianp = Median 15 16 19 = 18. 6 17 12 Ho: Median NP = Median = Medianos H₂: Median NP * Median # Medianos Medianos H₂: Median NP < Median > Medianos Off-Site 9 lo Ho: Medianp * Median + Medianos # H₂: Median NP = Median = Medianos 2 4 State the null and alternative hypotheses. Ho: All populations of managerial potential ratings are identical. H₂: Not all populations of managerial potential ratings are identical. 3 1 10 5 O Ho: 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.) Find the p-value. (Round your answer to three decimal places.) p-value =
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