In acceptance sampling, even if the sampled items show zero defects, why might there still be damaged items in the shipment?

In acceptance sampling, even if the sampled items show zero defects, why might there still be damaged items in the shipment?

• A. Sampling may miss defects due to sample size and randomness
• B. Zero defects guarantee overall quality
• C. Damage occurs only after sampling
• D. The entire shipment is always inspected eventually

Answer: (A)

The idea being tested is that sampling introduces uncertainty. Even if the inspected sample shows no defects, the entire shipment may still contain damaged items because the sample is only a portion of the whole lot. Acceptance sampling relies on probabilities: the plan decides how many items to check and how many defects are allowed before rejecting. If defects are rare or unevenly distributed, the chance that the sample contains zero defects can still occur even though defective units exist elsewhere in the shipment. In short, zero defects in the sample does not prove the entire shipment is flawless; it reflects the sampling risk given the defect rate and sample size. The other statements imply guarantees or practices that sampling does not provide, which is why they don’t fit.

The idea being tested is that sampling introduces uncertainty. Even if the inspected sample shows no defects, the entire shipment may still contain damaged items because the sample is only a portion of the whole lot. Acceptance sampling relies on probabilities: the plan decides how many items to check and how many defects are allowed before rejecting. If defects are rare or unevenly distributed, the chance that the sample contains zero defects can still occur even though defective units exist elsewhere in the shipment. In short, zero defects in the sample does not prove the entire shipment is flawless; it reflects the sampling risk given the defect rate and sample size. The other statements imply guarantees or practices that sampling does not provide, which is why they don’t fit.