Assignment Task: A process filling small bottles with baby formula has a target of 3 ounces ±0.10 ounces. In other words, a bottle must contain between 2.9 and 3.1 ounces of baby formula. As part of a periodic process capability study, two hundred bottles from the process were sampled. The results showed the average amount of formula filled in the bottles to be 2.972 ounces with a standard deviation of 0.023 ounces.
Q1. Would you consider this process capable of meeting the required specifications? Answer by calculating an appropriate measure of capability.
Q2. Assuming that the quantity of formula in a bottle is normally distributed, out of a batch of a million bottles how many do you think would be unacceptable - i.e., outside the specification limits?
Q3. Currently the process is not centered. If the process is adjusted so that it becomes centered, what is the impact on the process capability measure that you calculated in (1)?