The following Table reports the probability of acceptance using a Single Samplin
ID: 3239219 • Letter: T
Question
The following Table reports the probability of acceptance using a Single Sampling Plan (SSP) versus the expected value of the fraction of nonconforming of the incoming shipment. GIVEN that: If the fraction of nonconforming of the incoming shipment equals to the AQL, the shipment will be accepted with a probability 0.9597. If the fraction of nonconforming of the incoming shipment equals to the LTPD, the shipment will be rejected with a probability 0.9770. PERFORM the following tasks: A. FIND the AQL and the Producer risk B. FIND the LTPD and Consumer Risk C. A shipment of size N = 1000 and P = 0.060 is expected to arrive the next few days. Let n = 89 and FIND the AOQ D. WHAT should be the size of the inspected sample (n) in Part C in order to reduce the AOQ to 50% of its value in Part C?Explanation / Answer
Answer:
A. AQL =0.005
B. LTPD= 0.04
C.AOQ = (Pd )(Pa )(N-n)/N
= (0.045)(0.408)(1000-89)/1000
=0.0167
D.0.0083
P np Pa % non.perfor 0.005 0.445 0.9897 1 0.01 0.89 0.9397 2 0.02 1.78 0.7366 3 0.03 2.67 0.4985 4 0.04 3.56 0.3402 5 0.06 5.34 0.0919 6 0.07 6.23 0.0468 7 0.08 7.12 0.023 8 0.09 8.01 0.0109 9