Question

QUESTION 10 Calculate the average Run Length of a Control chart with a stop signal of one point out of the 2.7 sigma limits on either side of the charts

Answer 1

Average ran length is expressed ART - Cone point plot out of control) ARLI In given question, we have to calculate nin length of a control chan with a shop ome point out of the 2.7 Sigma limits on side of the charts both los s average signal of either 1. for any shew art chart with 3 sigma limit 2=0.00 27 a single point fall outside the process is in conmia the usual 300 il Ý the probability that control limits when the Nagt Art Fotoboer 370 01 370 370 4. I Mese for 2.7 sigma limits. d = 0.007 R 99.30% re. probability that product ù within spech cations j 0.9930 2. which comesponds to 7000 parts per million defective

This means point fally process is in iie q single the that the outside the conmol = 0.007 probability that a control limits when 0.007 . Average nun length a t 0.007 ARL = 14 2.857 ARL is approximately equal to 143. 0 AK m a to 14