Q1. Consider a p-chart with 3 sigma control limits. The in-control process fraction nonconforming is 0.02. (a) If 50 items are inspected each day, what is the probability of detecting a shift of the fraction nonconforming to 0.04 on the first day after the shift? (i) Construct a p-chart: What is the center line of the p-chart? (ii) Construct a p-chart: What is the Upper Control Limit of the p-chart? (iii) Construct a p-chart: What is the Lower Control Limit of the p-chart? (iv) What is the probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift? (b) What is the probability of detecting a shift in the fraction nonconforming to 0.04 at least once by

Q1. Consider a p-chart with 3 sigma control limits. The in-control process fraction nonconforming is 0.02. (a) If 50 items are inspected each day, what is the probability of detecting a shift of the fraction nonconforming to 0.04 on the first day after the shift? (i) Construct a p-chart: What is the center line of the p-chart? (ii) Construct a p-chart: What is the Upper Control Limit of the p-chart? (iii) Construct a p-chart: What is the Lower Control Limit of the p-chart? (iv) What is the probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift? (b) What is the probability of detecting a shift in the fraction nonconforming to 0.04 at least once by

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

Consider a p-chart with 3 sigma control limits. The in-control process fraction nonconforming is 0.02. (a) If 50 items are inspected each day, what is the probability of detecting a shift of the fraction nonconforming to 0.04 on the first day after the shift?