In an experiment to determine the effect of catalyst on

Chapter 9, Problem 13E

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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 \(\overline{X}_1=89.88\), \(\overline{X}_2=89.51\), \(\overline{X}_3=86.98\), and \(\overline{X}_4=85.79\). Assume that five runs were made with each catalyst.

a. If MSE=3.85, compute the value of the  statistic for testing the null hypothesis that all four catalysts have the same mean yield. Can this null hypothesis be rejected at the  level?

b. Use the Tukey-Kramer method to determine which pairs of catalysts, if any, may be concluded to differ at the  level.

Equation Transcription:

Text Transcription:

overline{X}_1=89.88

overline{X}_2=89.51

overline{X}_3=86.98

overline{X}_4=85.79

MSE=3.85

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