An industrial engineer employed by a beverage bottler is interested in potential
ID: 3327291 • Letter: A
Question
An industrial engineer employed by a beverage bottler is interested in potential fatigue differences resulting from the effects of two different types of 32-ounce bottles on the time to deliver 12-bottle cases of the product. The two bottle types are glass and plastic. As a measure of the amount of effort required, he measured the elevation of the heart rate (pulse) induced by the task. Four replicates of a 22 factorial design are performed, the results follow. Analyze the data and draw conclusions. [25p] Worker Bottle Type 39 58 45 35 35 21 20 16 13 16 Glass 13 Plastic 10 42 15Explanation / Answer
Result:
Two factor ANOVA
Factor 2
Means:
Worker1
Worker2
Glass
44.3
15.0
29.6
Factor 1
Plastic
35.5
13.5
24.5
39.9
14.3
27.1
4
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1 Bottle type
105.06
1
105.063
1.81
.2028
Factor 2 worker
2,626.56
1
2,626.563
45.37
0.0000
Interaction
52.56
1
52.563
0.91
.3595
Error
694.75
12
57.896
Total
3,478.94
15
To test the bottle type effect, calculated F=1.81, P=0.2028 which is > 0.05 level of significance. The effect of bottle type is not significant.
To test the worker effect, calculated F=45.37, P=0.0000 which is < 0.05 level of significance. The effect of worker is significant.
To test the interaction effect, calculated F=0.91, P=0.3595 which is > 0.05 level of significance. The effect of interaction is not significant.
Two factor ANOVA
Factor 2
Means:
Worker1
Worker2
Glass
44.3
15.0
29.6
Factor 1
Plastic
35.5
13.5
24.5
39.9
14.3
27.1
4
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1 Bottle type
105.06
1
105.063
1.81
.2028
Factor 2 worker
2,626.56
1
2,626.563
45.37
0.0000
Interaction
52.56
1
52.563
0.91
.3595
Error
694.75
12
57.896
Total
3,478.94
15