Question: You may need to use the appropriate technology to answer this question. A sample of 20 engineers employed with a company for three years

You may need to use the appropriate technology to answer this question.

You may need to use the appropriate technology to answer this question. 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 16 12 7 9 20 1 10 17 4 15 19 2 11 6 3 13 18 8 14 5 State the null and alternative hypotheses. Ho: Median Np = Median = Medianos H: Median Np * Median * Median os Ho: Median Np = Median = Medianos H: Median Np < Median > Median os Ho: Median Np + Median * Median os H: Median Np = Median = Medianos O Ho: Not all populations of managerial potential ratings are identical. H: All populations of managerial potential ratings are identical. O Ho: All populations of managerial potential ratings are identical. H: Not 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 = State your conclusion. 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. 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 sufficient evidence to conclude that there is a significant difference in the managerial potential of the three groups.

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