Problem: Tolerances for a new assembly call for weights between 32 and 33 pounds. The assembly is made using a process that has a mean of 32.6 pounds with a population standard deviation of .22 pounds. The process population is normally distributed. Provide justifications and citations for your responses.
Required:
a. Is the process capable?
b. If not, what proportion will meet tolerances?
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?