(10 points) A manager wishes to determine whether the mean times required to com

Question

(10 points) A manager wishes to determine whether the mean times required to complete a certain task differ for the three levels of employee training. He randomly selected 10 employees with each of the three levels of training (Beginner, Intermediate and Advanced). Answer the following questions. ldentify the response variable of this study A. time to complete a certain task B. level of employee training C. whether or not all means are the same D. number of employees How many factor levels were considered in this studyn A. 10 B. 30 C. 3 D. none of the above

Explanation / Answer

3a) RESPONSE VARIABLE IS TIME TO COMPLETE CERTAIN TASK .

3b) Level of factors considered in study is 3

3c) ANOVA TABLE

here are k = (a) (a-1)/2 possible pairs where a = the number of treatments. In this , a= 3, so there are 3(3-1)/2 = 3 pairwise differences to consider.

To start, we must select a value for alpha (), the confidence level. We will select = 0.05. In Bonferroni's method, the idea is to divide this familywise error rate (0.05) among the k tests. So each test is done at the /k level.

BONFERRONI CORRECTED ALPHA= 0.05/3= 0.0167

PLEASE NOTE: TO CONDUCT T TEST FOR BONFERRONI CORRECTION , DATA IS REQUIRED. PLEASE REPOST THE QUESTIONS WITH DATA FOR REST OF THE QUESTIONS ALONG WITH COMPLETED ANOVA TABLE. THANK YOU.I HAVE ALREADY COMPLETED THE ANOVA TABLE .

D.F S.S M.S F DEGREES 2 180.067 90.03 4.66 RESIDUALS 27 521.46 19.31 TOTALS 29 701.527

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