An automatic filling machine us used to fill 1-liter bottle of cola. The machine's output is approx. 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) Detemine upper and lower control limits that will include roughly 97 percent 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?