Answered: You are comparing two chemical…

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

You are comparing two chemical processes that manufacture the same product in two different facilities. The performance of process A gives an average value of 96.2 from six runs and the estimated standard deviation of the performance is 2.75. The performance of process B gives an average value of 93.3 from seven runs and the estimated standard deviation is 3. ##. The returns follow a normal distribution. Is the difference between the mean returns statistically significant? Use the 5% level of significance; Develop the answer using the Hypothesis Test, using both the comparison with critical statistics and through the confidence interval.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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