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Business is very good for a chemical company. In fact, it is so good that workers are averaging more than 40 hours per week at each of the chemical company's five plants. However, management is not certain whether there is a difference between the five plants in the average number of hours worked per week per worker. Random samples of data are taken at each of the five plants. The data are analyzed using Excel. The results follow. Explain the design of the study and determine whether there is an overall significant difference between the means at a = .05? Why or why not? What are the values of the means? What are the business implications of this study to the chemical company?
SUMMARY
Groups
Plant 1
Count
11
Sum
636.5577
Average
57.87
Variance
63.5949
Plant 2
12
601.7648
50.15
62.4813
Plant 3
8
491.7352
61.47
47.4772
Plant 4
5
246.0172
49.20
65.6072
Plant 5
7
398.6368
56.95
140.3540
ANOVA
Source of Variation
SS
df
MS
F
P-value F crit
Between Groups
900.0863
4
225.0216
3.10
0.026595 2.62
Within Groups
2760.136
38
72.63516
Total
3660.223
42
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