The article "Factorial Experiments in the Optimization of Alkaline Wastewater Pretreatment" (M. Prisciandaro, A. Del Borghi, and F. Veglio, Industrial Engineering and Chemistry Research, 2002:5034-5041) presents the results of an experiment to investigate the effects of the concentrations of sulfuric acid (H,So,) and calcium chloride (CaCl,) on the amount of black mud precipitate in the treatment of alkaline wastewater. There were three levels of each concentration, and two replicates of the experiment were made at each combination of levels. The results are presented in the following table (all measurements are in units of kg/m). H;5O, CaCl, 15 Precipitate 100.2 110 98.2 110 30 175.8 216.5 176.2 110 45 206.0 123 15 110.5 105.5 123 30 45 184.7 189.0 123 234.0 222.0 136 15 106.5 107.0 136 30 1817 189.0 136 45 211.8 201.3 a Construct an ANOVA table. You may give ranges for the P-values. b. Is the additive model plausible? Explain. c. Can you concude that H,S0, concentration affects the amount of precipitate? Explain. d. Can you concude that CaCl, concentration affects the amount of precipitate? Explain.

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The article "Factorial Experiments in the Optimization of Alkaline Wastewater
Pretreatment" (M. Prisciandaro, A. Del Borghi, and F. Veglio, Industrial Engineering and
Chemistry Research, 2002:5034-5041) presents the results of an experiment to
investigate the effects of the concentrations of sulfuric acid (H,So,) and calcium
chloride (CaCl,) on the amount of black mud precipitate in the treatment of alkaline
wastewater. There were three levels of each concentration, and two replicates of the
experiment were made at each combination of levels. The results are presented in the
following table (all measurements are in units of kg/m).
H;5O,
CaCl,
15
Precipitate
100.2
110
98.2
110
30
175.8
216.5
176.2
110
45
206.0
123
15
110.5
105.5
123
30
45
184.7
189.0
123
234.0
222.0
136
15
106.5
107.0
136
30
1817
189.0
136
45
211.8
201.3
a Construct an ANOVA table. You may give ranges for the P-values.
b.
Is the additive model plausible? Explain.
c. Can you concude that H,S0, concentration affects the amount of precipitate? Explain.
d. Can you concude that CaCl, concentration affects the amount of precipitate? Explain.
Transcribed Image Text:The article "Factorial Experiments in the Optimization of Alkaline Wastewater Pretreatment" (M. Prisciandaro, A. Del Borghi, and F. Veglio, Industrial Engineering and Chemistry Research, 2002:5034-5041) presents the results of an experiment to investigate the effects of the concentrations of sulfuric acid (H,So,) and calcium chloride (CaCl,) on the amount of black mud precipitate in the treatment of alkaline wastewater. There were three levels of each concentration, and two replicates of the experiment were made at each combination of levels. The results are presented in the following table (all measurements are in units of kg/m). H;5O, CaCl, 15 Precipitate 100.2 110 98.2 110 30 175.8 216.5 176.2 110 45 206.0 123 15 110.5 105.5 123 30 45 184.7 189.0 123 234.0 222.0 136 15 106.5 107.0 136 30 1817 189.0 136 45 211.8 201.3 a Construct an ANOVA table. You may give ranges for the P-values. b. Is the additive model plausible? Explain. c. Can you concude that H,S0, concentration affects the amount of precipitate? Explain. d. Can you concude that CaCl, concentration affects the amount of precipitate? Explain.
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