For a given AQL and LTPD,which one of the following statements about the single-sampling plan is TRUE?
A)If c stays constant but n is increased,both the producer's risk and the consumer's risk will increase.
B)If c stays constant but n is increased,both the producer's risk and the consumer's risk will decrease.
C)If n stays constant but c is increased,the producer's risk will decrease and the consumer's risk will increase.
D)If n stays constant but c is increased,the producer's risk will increase and the consumer's risk will decrease.

Question

Quizplus · Accepted Answer

The single-sampling plan is a type of attribute sampling plan which involves selecting a sample of items from a batch or lot and inspecting them for conformity to a specified quality standard. The acceptance or rejection of the lot is based on the number of defects found in the sample, as determined by the AQL (Acceptable Quality Level) and LTPD (Lot Tolerance Percent Defective) values.

In a single-sampling plan, the sample size (n) and the acceptance number (c) are fixed for a given AQL and LTPD. The producer's risk is the probability of rejecting a lot that actually meets the AQL, while the consumer's risk is the probability of accepting a lot that actually exceeds the LTPD.

If n stays constant but c is increased, the acceptance criteria become more strict and it becomes less likely to accept a lot with defects. This means that the producer's risk will decrease, since fewer good lots will be rejected. However, this also means that the consumer's risk will increase, since it becomes more likely to accept a lot that actually exceeds the LTPD with the stricter acceptance criteria.

Therefore, the correct answer is C: If n stays constant but c is increased, the producer's risk will decrease and the consumer's risk will increase.

For a Given AQL and LTPD,which One of the Following