Question

Question 1

Two catalysts are being analysed to determine how they affect the mean yield of a chemical process. Specifically, catalyst 1 is currently used; but catalyst 2 is acceptable. Since catalyst 2 is cheaper, it should be adopted if it does not change the process yield. A test is run in the pilot plant and the results are shown as follows:

Catalyst Yield Data Observation Number 1 2 3 4 5 6 7 8 Catalyst 1 91.5 94.18 92.18 95.39 91.79 89.07 94.72 89.21
Catalyst 2 89.19 90.95 90.46 93.21 97.19 97.04 91.07 92.75

Is there any difference in the mean yields at 5% significance level assuming equal variances? [20]

Answer 1

This problem is the Classic model in probability and hypothesis testing,

Let's proceed

So there is no significant difference in the mean yields from my analysis

Hope this helps

All the best :)