A company receives a large number of job applications, which are at first evaluated centrally at theHR department. Each application receives a score between 0 and 100 from an HR expert. Theevaluations are done by three HR experts, who apply the same, standardised scoring scheme toobtain the final score. Despite the fact that the procedure has been standardised and the expertshave been trained, the management is still concerned that the system may not be fair because theremay be differences between the scoring tendencies of the three experts: If at least one expert tendsto give higher or lower scores than the others, that is a problem, because the score will not onlydepend on the quality of the application but also on which HR expert evaluated it.Therefore, the management decides to conduct a small-scale experiment to find out whether thereare significant differences between the three raters' scoring tendencies. In order to control for thedifferences between applications, each HR expert receives the same 4 applications for evaluation.The table below contains the 4 scores provided by each of the HR experts.Application1234Ms Taylor91906176HR ExpertMr GreenAnswer:84845970Ms Clark89906679Bear in mind that the purpose of the study is to find evidence that the HR experts tend to givedifferent scores. (It is taken for granted that applications differ in terms of quality and thosedifferences affect the scores.)Initial calculations reveal that SST = 100.5, SSB = 1394.25, and SS(Total) = 1512.25. Calculate the F-statistic used to test the null hypothesis that in the long run - there is no difference between theaverage scores given by the three raters. (The result must be accurate within ±0.05).

Answered: ons reveal that SST = 100.5, SSB =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ons reveal that SST = 100.5, SSB = 1394.25, and SS(Total) = 1512.25. Calculate the F- statistic used to test the null hypothesis that in the long run- there is no difference between the average scores given by the three raters. (The result must be accurate within ±0.05).