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The appropriate alternative hypothesis for this test is u1-u2_ What is the critical value? (Write in 3 decimal places) What is the pooled sample variance? (Write in 1 decimal value)

The appropriate alternative hypothesis for this test is u1-u2_ What is the critical value? (Write in 3 decimal places) What is the pooled sample variance? (Write in 1 decimal value)

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
Problem 1P
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Two catalysts may be used in a batch chemical process. 12 batches were prepared using catalyst 1, resulting in an average yield of 86 and a sample standard deviation of 3. 15 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 produces a higher mean yield than catalyst 1? Use alpha 0.01. • Let the yield measurements from catalyst 1 represent population 1. Let the yield measurements from catalyst 2 represent population 2. · a. The appropriate alternative hypothesis for this test is u1-u2 · b. What is the critical value? (Write in 3 decimal places) - c. What is the pooled sample variance? (Write in 1 decimal value) d. What is the test statistic? (Write in 2 decimal places) · e. What is the p-value? (Write in 4 decimal places) • f. Should we reject or not reject H0? • g. Is there (significant or insignificant) sample evidence to show that the mean yield produced by catalyst 2 is (higher or not higher) than the mean yield produced by catalyst 1?
Transcribed Image Text:Two catalysts may be used in a batch chemical process. 12 batches were prepared using catalyst 1, resulting in an average yield of 86 and a sample standard deviation of 3. 15 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 produces a higher mean yield than catalyst 1? Use alpha 0.01. • Let the yield measurements from catalyst 1 represent population 1. Let the yield measurements from catalyst 2 represent population 2. · a. The appropriate alternative hypothesis for this test is u1-u2 · b. What is the critical value? (Write in 3 decimal places) - c. What is the pooled sample variance? (Write in 1 decimal value) d. What is the test statistic? (Write in 2 decimal places) · e. What is the p-value? (Write in 4 decimal places) • f. Should we reject or not reject H0? • g. Is there (significant or insignificant) sample evidence to show that the mean yield produced by catalyst 2 is (higher or not higher) than the mean yield produced by catalyst 1?
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