a) A barbecue sauce producer sells their product in a 40 ounce bottle. Their historical process mean has been 40 ounces with a standard deviation of 0.5 ounces. If their tolerance limits are set at 40 ounces plus or minus 2 ounce, what is the process capability ratio of the bottle filling process?
b) A barbecue sauce producer sells their product in a 30 ounce bottle. Their current process mean is 29.70 ounces with a standard deviation of 0.45 ounces. If their tolerance limits are set at 30 ounces plus or minus 1.5 ounce, what is the process capability index of the bottle filling process?