Two catalysts may be used in a batch chemical process Twelve batches were prepared using catalyst 1 resulting in an average

Question

Two catalysts may be used in a batch chemical process Twelve batches were prepared using catalyst 1 resulting in an average yield of 86 and a sample standard deviation of 3 Fifteen batches were prepared using catalyst 2 and they resulted in an average yield of 89 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 a 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

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