In the search for a lower-pollution synthetic fuel, researchers are experimenting with three different factors, each controlled at two levels, for the processing of such a fuel. Factor A is the concentration of corn extract at 5% and 10%, factor B is the concentration of an ethylene-based compound at 15% and 25%, and factor C is the distillation temperature at 120 °C and 150 °C. The levels of undesirable emission of the fuel are shown in Table 12-44 for three replications of each treatment; each level

is randomly assigned to a treatment. The larger the level of emission, the worse the impact on the environment
(a) Find all of the main effects and the interaction effects.
(b) Find the sum of squares for each of the effects and the interaction effects.
(c) At the 5% level of significance, which effects are significant? Interpret your inferences.

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Treatment Degree of Undesirable Emission Level (ppm) 30 18 30 43 28 54 58 24 24 26 24 25 41 32 47 24 49 48 20 ab 46 bc abc