Mechanically, batch testing establishes what can be claimed about the lot as a whole, and the sample size determines how much you can actually claim.
The statistical foundation here is well-established, which is why sampling plans from decades ago are still valid.
The relevant detail is that if the lot was manufactured in multiple batches, testing vials from each batch separately establishes whether batch-to-batch variation is acceptable.
Published data on lot homogeneity from manufacturers who sample multiple vials consistently find variation below the published specifications, suggesting the sampling plans work.
If testing multiple vials, state how many you tested and why you chose those vials.
edited 14 Oct 2024 by cold_lane — added the method parameters