An automatic filling machine is used to fill 1- liter bottles of cola. The machines output is approximately normal with a mean of 1.0 liter and a standard deviation of 0.1 liter. Output is monitored using means s 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, .999 is the process in control?