A decision rule is given here. Assume the quality characteristic follows a normal distribution,and the control chart has two-sigma control limits, and the sample size is n = 4Decision Rule: If one or more of the next 3 samples yield values of the sample average thatfall outside the control limits, conclude that the process is out of control.(a) What is the Type-I error probability for this decision rule?(b) If the mean of the quality characteristic shifts one process standard deviation, andremains there later, what is the Type-II error probability associated with the decisionrule?

Answered: Image /qna-images/answer/bf1bccfc-6b87-47b8-b03b-88674f7294a7.jpg

Answered: A decision rule is given here. Assume…

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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B5. Two independent samples from normally distributed populations have values {2, 5, 4, 1} for sample 1, and {2,3, 2, 2, 4} for sample 2. Test at the 1% level H9: of = o, H;: of > o3. As part of your answer, state an appropriate test statistic and its distribution under Ho. Hint: You may need to use one of these percentiles, F3,4(1%) = 16.694, F43(1%) = 28.710, F3,4(0.5%) = 24.259, F13(0.5%) = 46.195. %3D !! %3D
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