A process capability study is conducted for a mold. You are tasked to evaluate if the process will yield a greater than 99% acceptance relative to the critical dimension assigned to you. The part requires 1.45"+/-0.008 and you are given 20 parts that measure an average of 1.45" with a standard deviation of 0.0015. What is the range of dimensions and range of the true mean to accept 99% of the parts?
Not sure how to attack this problem. Showing you work would be appreciated.