This does provide a bit of a quandary. If you "MUST" use the normal, and the standard deviation is large enough versus the mean to provide a reasonable chance of providing negative numbers, then you are basically trapped. You are being caught between the real world situation (no negatives) and a dictated model (normal) that allows negatives. You could strip off the negative numbers generated, but then the data would not be normal.
Why MUST you use normal? What is the process you are modeling? Is it a counting process where the Poisson would be the appropriate model? Keep in mind that SPC does NOT depend upon Normality to work.
Why MUST you use normal? What is the process you are modeling? Is it a counting process where the Poisson would be the appropriate model? Keep in mind that SPC does NOT depend upon Normality to work.
