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. Is there evidence to support a claim that catalyst 2 pro- duces a higher mean yield than catalyst 1? Use a = 0.01.

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. Is there evidence to support a claim that catalyst 2 pro- duces a higher mean yield than catalyst 1? Use a = 0.01.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

TOPIC: Hypotheses Tests on the Difference in Means, Variances
Unknown & Equal or Unknown & Not Assumed Equal

Please provide answers specially for test statistics and the critical value. Thank you

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.
Is there evidence to support a claim that catalyst 2 pro-
duces a higher mean yield than catalyst 1? Use a = 0.01.

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