Two catalysts may be used in a batch chemical process. twelve batches were prepared using catalyst 1, resulting in an average yield of 85 and a sample standard deviation of 3. fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 92 with a standard deviation of 2. assume that yield measurements are approximately normally distributed with the same standard deviation.
(a) is there evidence to support a claim that catalyst 2 produces a higher mean yield than catalyst 1? use α = 0.01.
(b) find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a).