I'm working on a project involving a couple of material dispensers, and the customer we're designing them for has asked us to keep the output of the dispensers within a set range 95% of the time. I'm struggling with the statistics aspect of tuning the dispenser to get toward this output.
Basically I need to find a target metric (feels like standard deviation is the right metric here) and see if the tech we've developed can even meet that metric at all or if we need to re-evaluate and start over. Where would I get started on this? Do I need more information to calculate the target standard deviation? Am I going about this the wrong way?
The easy way would be to just test the system a million times and see if the error rate is acceptable, but this doesn't have a set endpoint and requires a tremendous amount of measurement with no real end in sight.
Thanks very much,