Tolerances for a new drug call for weights of between 32 and 33 grams.
The drug is made using a process with a mean of 32.6 grams, with a population standard deviation of 0.22 grams. The process population is normally distributed.
a) Is the process capable?
b) If not, what proportion will meet tolerance?
c) Within what values will 99.5% of sample means of this process fall if the sample size is constant at 10 and the process is stable.