Handgun Accuracy Problem

Abstract

A laboratory test, aimed to check the compliance of the model with demand, indicates that consecutive fires of about 10 centers around a circular region with a radius of 10cm. The fact that the fires, though performed at the same conditions, do not target at the same point is called focusing uncertainty of the handgun. Furthermore, it is observed, that bullet velocity measured 10 meters from gun varies up to about 7m/s (around 340m/s) among the firing set of 10. There are about ten different models and each model seems to display a different magnitude of uncertainty and velocity deviation from the expected average. The company, being willing to produce more data at request, asks to see if the focusing uncertainty and variation in bullet velocities can somehow be correlated. And with some help from other disciplines, the fact behind such uncertainties? Experiment apparatus or manufacturing process. If latter, which manufacturing unit contributes more?