The Multipak company, in a concern for continuous improvement, plans to redevelop the workspace for mounting his video devices. Three developments are under study, the current one and two new proposals. The assembly time (in minutes) was recorded as 20 appliances of the same type, according to each layout (layout A being the configuration current workspace). 

a) What is the null hypothesis we want to test here? 

b) Determine the average time obtained for all the results as well as the time means carried out according to each arrangement.   

c) Using Excel, determine the analysis of variance table. 

d) Can we consider as plausible the hypothesis according to which the average time assembly is identical, regardless of the layout of the workspace, at the threshold a = 0.04? Use the descriptive threshold (p-value) to answer this question. (8 points) e) From the variance analysis report obtained in c), do you have to apply the method of Tukey-Kramer? If yes, identify the accommodations that are not equivalent between them. Use a = 0.01. (NOTE: You can fire this problem manually)  

 

4 5 6 1 2 3 4 A B 1 Question 3 2 Comparison of assembly time according to three workspace layouts 3 7 8 9 10 11 12 13 14 15 16 11 80 17 12 87 18 13 83 19 14 86 20 15 83 21 16 79 22 17 87 23 18 85 24 19 87 25 20 83 26 21 84 27 80 28 29 30 OT A 77 81 5 6 7 8 79 9 83 234 83 80 85 222 10 84 85 85 C Facilities D B 85 88 82 89 84 90 88 85 88 82 87 82 84 84 84 88 82 84 84 82 84 84 C 87 85 94 86 87 88 92 101 85 97 86 87 E 88 84 87 88 87 88 94 86 89 92 F G