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. a = 0.05 was used. SUMMARY GROUPS COUNT SUM AVERAGE A 5 7.84 1.568 B 5 1.772 C 5 1.546 D 5 1.916 Error Total 8.86 7.73 9.58 1. Complete the ANOVA table. (a) (b) (c) ANOVA TABLE SOURCE OF VARIATION DF SS MS F p-value Treatment. (a) 0.465 0.155 5.200 0.011 16 19 VARIANCE 0.01867 1 0.04667 0.02533 0.02853 (b) (c) 0.942 2. 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? 3. Give a 95% confidence interval for the difference in mean polluting effluent per gallon for plants A and D. Does this interval indicate that mean effluent per gallon differs for these two plants? Why?