Question: An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitored using means of samples of 25 observations.

A. Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control.

B. Given these sample means 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?