10.1.2 7 Pleas help thanks 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, For catalyst 1 : sample size (n1) = 12 sample mean (x̄1) = 84 sample standard deviation (s1)…

Answered: wo catalysts may be used in a batch…

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 α=0.01. What is the appropriate hypothesis test? a Right-tailed test b Middle-tailed test c Two-tailed test d Left-tailed test
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 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?
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.1 and the sample standard deviation was 1.3. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use α = 0.05.) USE SALT State the appropriate hypotheses. ⒸHO: μ> 48 H₂: μ = 48 Ho: μ 48 Ho: μ = 48 H₂: μ = 48 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = What can you conclude? O The data provides compelling…

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wo catalysts may be used in a batch chemical 34 and a sample standard deviation of 3. Fifte with a standard deviation of 2. Assume that yi deviation.