Question

An office supply company ordered a lot of 400 printers. When the lot arrives the company inspector will randomly inspect 12printers. If more than three printers in the sample are nonconforming, the lot will be rejected. If fewer than two printers are non-conforming, the lot will be accepted. Otherwise, a second sample of size 10 will be taken. Suppose the inspector finds two non-conforming printers in the first sample and two in the second sample. Also AQL and LTPD are 0.05 and 0.10 respectively. Let incoming quality be 4%.

i) What type of acceptance plan is used here?

ii) What is the probability of accepting the lot at the first sample?

iii) What is the probability of accepting the lot at the second sample?

06 Feb 2021
Answer :
Word Count : 583

The scenario described in the question is related to acceptance sampling, a fundamental concept in quality control that uses probability theory to determine whether a lot of items (in this case, printers) meets certain quality standards. The key terms in this scenario are the Acceptable Quality Level (AQL), the Lot Tolerance Percent Defective (LTPD), and the sample sizes and defect counts. Let's address each part of the question:

i) What type of acceptance plan is used here?

The acceptance plan used in this scenario is called a Double Sampling Plan. It involves two sequential samples, where the first sample is inspected first. If the first sample meets the acceptance criteria, the lot is accepted. If it _______ ___ ____ ___ __________ ____ _________ ______ ___ ____ ___.
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