10.1-2 6 please help Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 89with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standarddeviation.(a) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use α = 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). Round your answer totwo decimal places (e.g. 98.76).iH1 H₂ ≤-Statistical Tables and Charts

Given n1=12 n2=15 Xbar1=84 Xbar2=89 S1=3 S2=2

Answered: talysts may be emical process. Twelve…

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. 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 the claim that catalyst 2 produces higher mean yield than catalyst 1? Use a=0.01. What is the test statistic? Answer rounded-off to 2 decimal places
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 the claim that catalyst 2 produces higher mean yield than catalyst 1? Use a=0.01. What is the appropriate hypothesis test? O Right-tailed test O Middle-tailed test Left-tailed test O Two-tailed test
Two methods have been developed to determine the nickel content of steel. In a sample of five replications of the first method on a certain kind of steel, the average measurement (in percent) was 5= 3.16 and thestandard deviation was s, = 0,042. The average of seven replications ofthe second method was y = 3.24 and the standard deviation was s, = 0,048.Assume that it is known that the population variances are nearly equal.a Can we conclude that there is a difference in the mean measurements between the two methods?
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 uj – uz. 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…

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