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 sample size determination requires choosing a confidence level and an acceptable error rate, and the smaller the error rate you want, the larger your sample must be.
Specifically, for a quantitative result like content, the acceptable range determines how many vials you need to test to establish the lot complies.
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.
Assume segregation is possible, and design your sampling to catch it if it exists.
edited 11 Aug 2024 by charge_state_3 — reworded for clarity after a comment
3The timing signature is the useful part. Everything else is confounded. – amara_nwachukwu 5 months ago add a comment