The underlying point is that the single most misleading statement on a research-grade certificate is a lot number with no statement of how many vials from that lot were tested.
For a quantitative result like content, the acceptable range determines how many vials you need to test to establish the lot complies.
To be exact about it, 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.
I would treat a "complies with" statement without sampling details as a claim rather than as evidence.
If testing multiple vials, state how many you tested and why you chose those vials.
edited 17 Nov 2025 by nils_karlberg — corrected a unit error in the worked example