Four chemical plants, producing the same products and owned by the same company, discharge effluents into streams in the vicinity of their locations. To monitor the extent of pollution created by the effluents and to determine whether this differs from plant to plant, the company collected random samples of liquid waste, five specimens from each plant. The data are given below along with output from the ANOVA test to determine whether a difference exists between the mean weight of effluents per gallon in the effluents discharged from the four plants. α = 0.05 was used. Table 1: Summary Group Count Sum Average Variance A 5 7.84 1.568 0.01867 B 5 8.86 1.772 0.04667 C 5 7.73 1.546 0.02533 D 5 9.58 1.916 0.02853 Table2 Anova Sourse of variation DF SS MS F p-value Treatment (a) 0.465 0.155 5.200 0.011 Error 16 (b) (c) Total 19 0.942 Construct a 95% confidence interval for the mean amount of polluting effluent per gallon for plant A. If the limit for the mean amount of polluting effluent is 1.5 pound/gallon, would you conclude that plant A exceeds this limit? Why?
Four chemical plants, producing the same products and owned by the same company, discharge effluents
into streams in the vicinity of their locations. To monitor the extent of pollution created by the effluents
and to determine whether this differs from plant to plant, the company collected random samples of
liquid waste, five specimens from each plant. The data are given below along with output from the
ANOVA test to determine whether a difference exists between the mean weight of effluents per gallon
in the effluents discharged from the four plants. α = 0.05 was used.
Table 1: Summary
| Group | Count | Sum | Average | Variance |
| A | 5 | 7.84 | 1.568 | 0.01867 |
| B | 5 | 8.86 | 1.772 | 0.04667 |
| C | 5 | 7.73 | 1.546 | 0.02533 |
| D | 5 | 9.58 | 1.916 | 0.02853 |
Table2 Anova
| Sourse of variation | DF | SS | MS | F | p-value |
| Treatment | (a) | 0.465 | 0.155 | 5.200 | 0.011 |
| Error | 16 | (b) | (c) | ||
| Total | 19 | 0.942 | |||
Construct a 95% confidence interval for the mean amount of polluting effluent per gallon for plant
A. If the limit for the mean amount of polluting effluent is 1.5 pound/gallon, would you conclude
that plant A exceeds this limit? Why?
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