Accepted answer
Batch testing establishes what can be claimed about the lot as a whole, and the sample size determines how much you can actually claim.
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.
In practice, under AQL sampling plans, testing two vials from a fifty-vial lot gives you an operating characteristic curve that tells you what risks you are accepting.
Lyophilised peptide homogeneity studies show that vial-to-vial variation is usually small but occasionally large, depending on the distribution in the freeze-dryer.
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 23 Nov 2024 by stopper_core — removed a claim I could not source