Two catalysts in a batch chemical process, are being consideredfor their effect on the output of a process reaction. Based onliterature, data with different samples with catalyst 1 were foundto result to the following yield:
78.53 | 78.17 | 81.05 | 81.77 | 78.13 | 81.24 | 81.84 | 79.63 | 78.59 | 79.74 | 79.84 | | |
On the other hand, you found the following for the yield usingcatalyst 2:
82.05 | 81.57 | 81.71 | 81.29 | 81.79 | 81.47 | 81.75 | 81.50 | 81.75 | | | | |
If you can assume that the distribution characterizing yield isapproximately normal and the samples are independent:
Perform hypothesis testing using 97.5 % confidence to testwhether the average yield using catalyst 2 is not equal to theaverage yield using catalyst 1
Report your findings with the same data and hypothesis, but nowusing significance testing (P-value approach) only for the lasttest (test on difference of means). Use the same confidence levelas previously for any other test.
