Question

A tech company wanted to determine the effect of stress on the quality of work produced by their employees. They conducted a study that compared n-30 workers who were categorized as having low, moderate, or high stress levels during work by measuring the number of mistakes each made when producing a particular piece of computer code (in C++). The company wanted to test the question, does one's level of stress affect their quality of work. Calculate the F-test value by completing the follolving table. Also find the Fcritical value for this test. Sum of Squares df Mean Square F Between Groups 146.6 Select Select) Select Within Groups 385.7 Select Select] Select Total Select) Select

Answer 1

here n=30 V = 3 ie number of groups A NOVA Table Sum of squares af. Mean square =v-1-2 Between 146.6 groups 146.6 = 73.3 2 73.3 14.2852 -5.13 12 within groups 385.7 -n-V 385-7 z 14.2852 - =30-3-27 Total = 146-6+385.7 TUTO = 532.3 = n-1 =301329 here 13 degrees of freedom for numerator 3 V-122 Denominator degree of freedom = n-V=27 4 L=orios . Critical value is Frantical = Frej Vlyn-x) = Fress, 227) 3.3541 here F > Ferritical .l.e 5.1312 > 3.3541 : we reject anall hypothesis and conclude that one's level of stress affect their quality of work (lie mean of mistake made for each group is nich same