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?
