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Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 34 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 the claim that catalyst 2 produces higher mean yield than catalyst 1? Use a = 0.01. Yes. b) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to wo decimal places (e.g. 98.76). 4₁-4₂ -2.31 Statistical Tables and Charts

Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 34 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 the claim that catalyst 2 produces higher mean yield than catalyst 1? Use a = 0.01. Yes. b) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to wo decimal places (e.g. 98.76). 4₁-4₂ -2.31 Statistical Tables and Charts

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Educational Website Transcription:** **Title: Analyzing Catalyst Performance in a Batch Chemical Process** Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 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 the claim that catalyst 2 produces higher mean yield than catalyst 1? Use \(\alpha = 0.01\). - A dropdown indicates a response, with the answer "Yes" selected. **(b)** Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to two decimal places (e.g., 98.76). - The mathematical expression \(\mu_1 - \mu_2 \leq\) is shown, with a box containing the value \(-2.31.\) **Note:** Statistical Tables and Charts are available for reference.
Transcribed Image Text:**Educational Website Transcription:** **Title: Analyzing Catalyst Performance in a Batch Chemical Process** Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 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 the claim that catalyst 2 produces higher mean yield than catalyst 1? Use \(\alpha = 0.01\). - A dropdown indicates a response, with the answer "Yes" selected. **(b)** Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). Round your answer to two decimal places (e.g., 98.76). - The mathematical expression \(\mu_1 - \mu_2 \leq\) is shown, with a box containing the value \(-2.31.\) **Note:** Statistical Tables and Charts are available for reference.
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