The yield of a chemical process is being studied. The two most important variables are thought...

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Basic Math

The yield of a chemical process is being studied. The two mostimportant variables are thought to be the pressure and thetemperature. Three levels of each factor are selected, and afactorial experiment with two replicates is performed. The yielddata are as follows:
Pressure (psig)
Temperature (ºC)
200
215
230
150
90.4
90.7
90.2
90.2
90.6
90.4
160
90.1
90.5
89.9
90.3
90.6
90.1
170
90.5
90.8
90.4
90.7
90.9
90.1
Use the LSD test to determine which levels of the pressurefactor are significantly different.
Use the LSD test to determine which levels of the temperaturefactor are significantly different.
Suppose that we wish to reject the null hypothesis with a highprobability if the difference in the true mean yield at any twopressures is as great as 0.5. If a reasonable prior estimate of thestandard deviation of yield is 0.1, how many replicates should berun?

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3.6 Ratings (615 Votes)

Use the LSD test to determine which levels of the pressure factor are significantly different The output is Post hoc analysis pvalues for pairwise ttests for Factor 2 230 psi 200 psi 215 psi 9018 9037 9068 230 psi 9018 200 psi 9037 0411 215 psi 9068 0001 0026 Tukey simultaneous comparison tvalues df 9 230 psi 200 psi 215 psi 9018 9037 9068 230 psi 9018 200 psi 9037 238 215 psi 9068 650 411 critical values for See Answer

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	Pressure (psig)
Temperature (ºC)	200	215	230
150	90.4	90.7	90.2
150	90.2	90.6	90.4
160	90.1	90.5	89.9
160	90.3	90.6	90.1
170	90.5	90.8	90.4
170	90.7	90.9	90.1