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 chemist would like to know if catalyst 2 produces a higher mean yield than catalyst 1? Use alpha = 0.01.

a) Define your parameter of interest.

b) Write down the null and alternative hypothesis.

c) Calculate the test statistic.

d) Define rejection criteria.

e) Calculate critical value.

f) What is your conclusion?

g) Find a 99% upper confidence bound on the difference in mean yields.

Please show all steps! Thanks!

Answer 1