(Solution) - In an experiment to determine the effect of catalyst on -(2025 Original AI-Free Solution)

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In an experiment to determine the effect of catalyst on the yield of a certain reaction, the mean yields for reactions run with each of four catalysts were X?1. = 89.88, X?2. = 89.51, X?3. = 86.98, and X?4. = 85.79. Assume that five runs were made with each catalyst.
a. If MSE = 3.85, compute the value of the F statistic for testing the null hypothesis that all four catalysts have the same mean yield. Can this null hypothesis be rejected at the 5% level?
b. Use the Tukey-Kramer method to determine which pairs of catalysts, if any, may be concluded to differ at the 5% level.