(1388), Single tinuous Sampling Procedures and Tables for and Multi d Multi-Leve

Question

(1388), Single tinuous Sampling Procedures and Tables for and Multi d Multi-Level Co l, MD ISO Attributes, MIL-STDI 235C, Washington, DC-7 colon Tables for Inspection by Attributes (MIL-STD 105E), U.S. Department of Defense (1989), Sampling Proceda cedures an Con- pling ual- Government Printing Office, Washington, D.C Acceptance of Product, MIL-STD 1916, Washington, D.C Sequential Probability Ratio Test." Annals of Mathemiaticad U.S. Department of Defense (1999). DoD Prefered Metineds f Se- Wald, A. (1947). Sequential Analysis, Wiley, New York mbia Wald, A.. and Wolfowitz, J. (1948). "Optimum Character of the . Se-Statistics, Vol. 19, pp. 326-39. 9 PROBLEMS sam- (c) 500 (d) 4000 5. Derive single sampling plans that come closest to mee ing the following criteria: /095 = 0.025, m.10-0.08 (b) P0.95 = 0.005, po. Io = 0.06 p0.95 0.040. po. Io = 0.10 (d) poss-0.060, po. Io = 0.12 sam- the AT7 : Derive single sampling plans that minimiz Po = 0.02 for the following lot sizes and values of Po.1o p010 = 0.04, N = 5000

Explanation / Answer

a) p =0.5

CI=95%

z value = 1.96 from standard z table

ME =0.025

n = (z/ME)^2 * (p*(1-p)) = (1.96/0.025)^2* (0.5(0.5)) =1536.64

p =0.10

CI=90%

z value = 1.645 from standard z table

ME =0.08

n = (z/ME)^2 * (p*(1-p)) = (1.645/0.08)^2* (0.1(0.9)) =38.05

b)

p 0.5 CI 95% z-value 1.96 ME 0.0050 n = (z/ME)^2 * (p*(1-p)) 38415

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