A chemical engineer is studying the effects of various reagents and catalysts on

Question

A chemical engineer is studying the effects of various reagents and catalysts on the yield ofa certain process. Yield is expressed as a pereentage of a theoretical maximum. Four runs of the process were made for each combination of three reagents and four catalysts. The data collected by the engineer; the treatment means, column means, and sample grand mean; the estimated row effects and column effects; and the Two-way ANOVA output from a statistical software package are given below. If appropriate, use Tukey's method to determine which pairs of catalysts and which pairs of reagents can be concluded to differ at the 5% level, in their effect on yield. Round your calculations and final answer to two decimal places. Reagent Catalyst B 71.9 72.0 80.1 77.4 74.4 87.2 71.8 84.2 87.6 82.7 78.2 90.1 C 65.5 72.3 76.4 66.5 66.8 77.2 76.6 86.1 72.5 77.9 83.7 78.8 D 64.0 70.4 77.3 81.3 73.6 81.6 84.1 85.0 79.6 75.5 80.5 72.8

Explanation / Answer

Option D

We conclude that te mean yield of ragent 1 is different from mean yield of 2&3 but we cannot conclude that the mean yield of reagent 2& 3 differ from each other

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