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Table 5.1 Factors for Calculating Three-Sigma Limits for the x Chart and A-Chart

ID: 368113 • Letter: T

Question

Table 5.1 Factors for Calculating Three-Sigma Limits for the x Chart and A-Chart Factor for UCL Factor for Factor for UCL for Sample-ba Charts R-Charts RCharts Size of and LCL for LCL for 2 1.880 1.023 0.729 0.577 0 483 0.419 0.373 0.337 D, 3 267 2575 2282 2115 2004 0.076 0.136 0.184 0.223 1.864 1.816 Source: 1950 ASTM Manual on Quality Control of Materials, copyright American Society for Testing Materials. Reprinted wth permission. an average thicknes of 1.74 ingch with an average range rnity, the first three terms from each batch of 20 are inspected. Use Table 5-1. What is the value of the lower control limit for the x-bar chart? (CSL1, CSLO 3)

Explanation / Answer

Answer:-

Lower control Limit = Avg(Xbar) – A2(Rbar)

In the question, Avg(Xbar)= 1.74

R bar =0.04

A2=1.023

LCL= 1.74 – 1.023*0.04

LCL =1.69908