The underlying point is that thermal history during shipping is different for every vial, so a lot that experienced thermal abuse may have internal variation even if it was originally homogeneous.
Acceptance Sampling by Attributes defines the number of samples you need from a lot to claim a specified quality level at a specified risk — it is in ANSI standard Z1.4.
More usefully, if the entire lot failed qualification, a retest on a different vial is sometimes done, but reporting a retest result under the same lot number is misleading.
Sampling plans for pharmaceutical manufacturing are defined in ISO 2859 and ANSI Z1.4, and they are based on statistical sampling theory.
One qualification: testing more vials gives better confidence, but at some point the cost outweighs the benefit.
The practical summary: a lot number without a sampling statement is a lot number without meaning.
edited 29 Oct 2025 by fiadh_cronin — tightened the wording; no substantive change
8The placebo-arm figure is the part everyone omits. – k_szabo 8 months ago add a comment