An \(\bar{x}\) chart is used to control the mean of a normally distributed quality characteristic. It is known that \(\sigma = 6.0\) and \(n = 4\). The center line = 200, UCL = 209, and LCL = 191. Based on this information:(A) The center line on the R chart = [ ](B) If the process mean shifts to 190, then the probability that this shift is detected on the first subsequent sample = [ ]**Explanation:**This image is a problem related to quality control using control charts. Specifically:- \(\bar{x}\) Chart: Used to monitor the mean of a process. - **Center Line**: The target mean or expected value of the process. - **UCL (Upper Control Limit)**: The upper threshold beyond which a sample mean is considered out of control. - **LCL (Lower Control Limit)**: The lower threshold.- R Chart: Used to monitor the variability of the process. - **Center Line**: Not provided here, often related to average range.The problem provides the known values (\(\sigma\), \(n\), center line, UCL, LCL) to calculate or analyze further quality metrics, such as the ability to detect process mean shifts.

Answered: Image /qna-images/answer/8bd356bb-0d57-4e7a-90e5-f1a1ecb38194.jpg

Answered: An x chart is used to control the mean…

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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