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 of a certain process. Yield is expressed as a percentage 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.

Explanation / Answer

ans

A) we conclude that the mean yield of reagent 1 differ from the mean yields of reagents 2 and 3 but we cannot conclude that the mean yields of reagents 2 and 3 differ each other.

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