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 independentrandom 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.A195 17 1913 6 18 34 10 121415CourseBO Ho: MedianH₂: Medianс D2O Ho: MedianH₂: Median20 8Use 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.11 16 7Ho: There is no difference in the quality of the training for the programs.H₂: There is a difference in the quality of the training for the programs.Mediang = Median> Median < MedianMedianp> MedianO Ho: MedianMedian MedianMedianH₂: Median = Median = Medianc = MedianO Ho: There is a difference in the quality of the training for the programs.H₂: There is no difference in the quality of the training for the programs.Mediang = Medianc = MedianpMedian# Median MedianFind the value of the test statistic. (Round your answer to two decimal places.)8.14Find the p-value. (Round your answer to three decimal places.)p-value = 0.028xState 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.O 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 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.Activate WindowsGo to Settings to activate Windows.

It is given that: A B C D 1 5 17 19 13 6 18 3 9 4 10 12 14 2 20 8 15 11 16 7

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 independ 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 ABCD 15 17 19 13 6 18 3 94 10 12 14 2 20 8 15 11 16 7 Use a 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: There is no difference in the quality of the training for the programs. H₂: There is a difference in the quality of the training for the programs. O Ho: Median Mediang - Mediane - Median H,: Median > Mediang < Mediane > Median O Ho: Median Mediang Median Median 15 Median H,: Median Median, Mediane Median OH: There is a difference in the quality of the training for the programs. H.: There is no difference in the quality of the training for the programs. O Ho: Median, Mediang - Mediane - Median H: Median Median Median Median Find the value of the test statistic. (Round your answer to two decimal places.) 8.14 Find the p-value. (Round your answer to three decimal places.) D-value = (0.028x 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.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU