An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H₂SO4) and calcium chloride (CaCl₂) 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 relevant statistical analysis is provided in the following table. Source DF SS MS F P 2 457.65 228.83 8.845 0.008 H₂SO4 CaCl₂ 2 38783 19391 749.53 0.000 Interaction 4 279.78 69.946 2.704 0.099 Error 9 232.85 25.872 Total 17 39753 a) The appropriate statistical analysis to test would be: a. One-way ANOVA b. Two-way ANOVA c. Three-way ANOVA d. Two-Sample t-test b) Does there appear to be an interaction between concentration of sulfuric acid and calcium chloride at the .05 level? What does this say about the additive model? c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the treatment of alkaline wastewater be described by interpreting the main effects of concentration of sulfuric acid? If so, interpret the main effects at the .05 level, including the appropriate test statistic and p-value. If not, explain why not. d) Can the effect of concentration of calcium chloride on amount of black mud precipitate in the

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An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H₂SO4)
and calcium chloride (CaCl₂) 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 relevant statistical analysis is provided in the following
table.
Source
DF
SS
MS
F
P
2
457.65
228.83
8.845
0.008
H₂SO4
CaCl₂
2
38783
19391 749.53
0.000
Interaction
4
279.78
69.946
2.704
0.099
Error
9
232.85 25.872
Total
17
39753
a) The appropriate statistical analysis to test would be:
a. One-way ANOVA
b.
Two-way ANOVA
C. Three-way ANOVA
d. Two-Sample t-test
b) Does there appear to be an interaction between concentration of sulfuric acid and calcium
chloride at the .05 level? What does this say about the additive model?
c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the
treatment of alkaline wastewater be described by interpreting the main effects of
concentration of sulfuric acid? If so, interpret the main effects at the .05 level, including the
appropriate test statistic and p-value. If not, explain why not.
d) Can the effect of concentration of calcium chloride on amount of black mud precipitate in the
treatment of alkaline wastewater be described by interpreting the main effects of
concentration of calcium chloride? If so, interpret the main effects at the .05 level, including
the appropriate test statistic and p-value. If not, explain why not.
Transcribed Image Text:An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H₂SO4) and calcium chloride (CaCl₂) 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 relevant statistical analysis is provided in the following table. Source DF SS MS F P 2 457.65 228.83 8.845 0.008 H₂SO4 CaCl₂ 2 38783 19391 749.53 0.000 Interaction 4 279.78 69.946 2.704 0.099 Error 9 232.85 25.872 Total 17 39753 a) The appropriate statistical analysis to test would be: a. One-way ANOVA b. Two-way ANOVA C. Three-way ANOVA d. Two-Sample t-test b) Does there appear to be an interaction between concentration of sulfuric acid and calcium chloride at the .05 level? What does this say about the additive model? c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the treatment of alkaline wastewater be described by interpreting the main effects of concentration of sulfuric acid? If so, interpret the main effects at the .05 level, including the appropriate test statistic and p-value. If not, explain why not. d) Can the effect of concentration of calcium chloride on amount of black mud precipitate in the treatment of alkaline wastewater be described by interpreting the main effects of concentration of calcium chloride? If so, interpret the main effects at the .05 level, including the appropriate test statistic and p-value. If not, explain why not.
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