An experiment to determine the effect of mold temperature on tensile strength involved three different alloys and five different mold temperatures. Four specimens of each alloy were cast at each mold temperature. With mold temperature as the row factor and alloy as the column factor, the sums of squares were: SSA = 69,738, SSB = 8958, SSAB = 7275, and SST = 201,816.
a. Construct an ANOVA table. You may give ranges for the P-values. b. Is the additive model plausible? Explain.
c. Is it plausible that the main effects of mold temperature are all equal to 0? Provide the value of the test statistic and the P-value. d. Is it plausible that the main effects of alloy are all equal to 0? Provide the value of the test statistic and the P-value.