In an effort to improve the efficiency in a large shop floor operation, three di

Question

In an effort to improve the efficiency in a large shop floor operation, three different workspace designs and two different storage/retrieval systems were tested. Process flow time (in days) was measured for three randomly selected operations through each combination of workspace design and storage/retrieval systems. Two-way ANOVA was used to analyze the data with the following results. At the .05 level of significance, the ANOVA results indicate

ANOVA: Flow Time versus Workspace Design, Storage System

Factor            Type   Levels Values
Workspace Design fixed       3 1, 2, 3
Storage System    fixed       2 1, 2


Analysis of Variance for Flow Time

Source                           DF      SS      MS      F      P
Workspace Design                  2 0.3087 0.1543   1.56 0.230
Storage System                    1 0.0750 0.0750   0.76 0.392
Workspace Design*Storage System   2 4.8780 2.4390 24.72 0.000
Error                            24 2.3680 0.0987
Total                            29 7.6297


S = 0.314113   R-Sq = 68.96%   R-Sq(adj) = 62.50%

Select one:

a. Workspace design has a significant effect on process flow time.

b. Storage/retrieval system has a significant effect on process flow time.

c. There is a significant interaction effect on process flow time.

d. Both A can B.

e. All of the above.

Explanation / Answer

Only C option is right. Because:

Workplace design and storage system both have p value greater than 0.05 and thus null is not rejected. Thus, they are insignificant.

But Interaction has p value < 0.05 and thus it is significant.

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