Concretely, a certificate that reports one test result on one vial extrapolates to claim that all two hundred vials in the lot are identical, which is an assumption worth questioning.
The statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.
To be exact about it, if you have reason to suspect inhomogeneity — different appearance in different vials, or a long or warm shipment — testing more vials is the diagnostic move.
Sampling plans for pharmaceutical manufacturing are defined in ISO 2859 and ANSI Z1.4, and they are based on statistical sampling theory.
I would treat a "complies with" statement without sampling details as a claim rather than as evidence.
The practical summary: a lot number without a sampling statement is a lot number without meaning.
edited 30 Jul 2025 by Dr_Marek_Zielinski — clarified the distinction between purity and content
The arithmetic checks out. I ran the same numbers and got the same result. – pascal_thibault 2 days ago add a comment