Question

For N= 10,000, n=52, c=3. calculate AOQ curve, AOQL value, and ATI curve

Answer 1

for N = 10,000 n = 52 c=3 calculate toa aurre , AOQL value & ATI curve. a = prob of acceptance of lot with quality p=PLd ZcJ or p [nec] where x is no. of defective or . p I no. of defective less than or equal to c] Pa = n) pd (1-pin-d d=0, 1 0 oro (p(1-p* . Now, n = 52 = 0.0052<l we usen poisson distribution Ň 10000

MI put up-1 , 7 =P Pa = probability of acceptance in sampleng plan =P[x5c] = nod = Pa P/N-1) = Pa p (1-2) since n is large АО о Pap ATI = npatn(1-pa) where I-Pa iš prob. of rejection N = 10000m =52, C = 3 = 52 = 0.0052 </ Pa (6=3) 0.05 2.6 . 9502.6 Oil 5.2 9005.2 7.8 0.048 10000 - тр АО) ATI 0.736 0.0368 0 0.238 0.0238 0.16 0.00072 8507-8 0 0.2 0.0016 8olo.4 0 0.25 0 10.4 13 15.6 18.2 0.008 0.001 0.000 0.00025 7513 0.3 0.35 7015-6 o value of poisson Pa i choosen distribution table from the with A 6518-2 Cumulative & C=3

ADO wrse 0.05 о. І •15 оа од 0,3 .3 . р — ATĮ were 0 л joooo E: 9000 боо Поро Lроо қо0° чоо Зоо 20ъо 1 доо О-о, о.) .s o» 0.25 0.3 0.35 0. 0.90 AODL in is maximum of nog А офL= 0.736