Two catalysts are being analyzed to determine how they affectthe mean yield of a chemical process. Specifically, catalyst 1 iscurrently used. Because catalyst 2 is cheaper, it should beadopted, if it does not change the process yield. A test is run inthe pilot plant and results in the data shown in the Table below.Both populations are assumed normal.
Observation # | Catalyst 1 | Catalyst 1 |
1 | 91.5 | 89.19 |
2 | 94.18 | 90.95 |
3 | 92.18 | 90.46 |
4 | 95.39 | 93.21 |
5 | 91.79 | 97.19 |
6 | 89.07 | 97.04 |
7 | 94.72 | 91.07 |
8 | 89.21 | 92.75 |
a) Assuming equal variances, using a hypothesis test at 5% alphalevel, show if there is any difference in the mean yields.
b) Assuming unequal variances, using a hypothesis test at 5%alpha level, show if catalyst 2 yields greater mean than catalyst1.
c) Find a 95% confidence interval for the mean of catalyst 1minus that of catalyst 2 assuming equal variances.
