While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Opera
ID: 3432547 • Letter: W
Question
While reviewing staffing plans for a new pilot plant, Colin Chenaux, VP of Operations at Clovis Chemicals, Inc., designed an experiment to test the effects of "supervisor's style" and "training method" on the productivity of operators. The treatment levels were: (1) authoritarian, and participatory for supervisor's style, and (2) technical manuals, training films, and multimedia for training method. A number of qualified applicants were randomly selected and assigned to each of the six cells. Analysis of Colin's data produced the following ANOVA table.
Source of Variation
SS
df
MS
F
Rows (supervisor's style)
410.8889
1
410.8889
45.09756
Column (training method)
120.7778
2
60.38889
6.628049
Interaction
2.111111
2
1.055556
0.115854
Within
109.3333
12
9.111111
Total
643.1111
17
Source of Variation
SS
df
MS
F
Rows (supervisor's style)
410.8889
1
410.8889
45.09756
Column (training method)
120.7778
2
60.38889
6.628049
Interaction
2.111111
2
1.055556
0.115854
Within
109.3333
12
9.111111
Total
643.1111
17
Explanation / Answer
a)
The interactions are insignificant as assuming 0.05 level of significance, F-value is less than the critical value
b)
authoritarian, and participatory for supervisor's style contributes more to understanding
c)
Yes , since both the Supervisor and training method are stastically significant as the data suggests
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