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: (image) a) The appropriate statistical analysis to test would be: I. One-way ANOVA II. Two-way ANOVA III. Three-way ANOVA IIIV. 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.

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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: (image)

a) The appropriate statistical analysis to test would be:
I. One-way ANOVA
II. Two-way ANOVA
III. Three-way ANOVA
IIIV. 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.

Source
H₂SO4
CaCl₂
Interaction
Error
Total
DF
2
2
4
9
17
MS
SS
457.65
228.83
38783
19391
279.78 69.946
232.85
25.872
39753
F
8.845
749.53
2.704
P
0.008
0.000
0.099
Transcribed Image Text:Source H₂SO4 CaCl₂ Interaction Error Total DF 2 2 4 9 17 MS SS 457.65 228.83 38783 19391 279.78 69.946 232.85 25.872 39753 F 8.845 749.53 2.704 P 0.008 0.000 0.099
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