Q. An automatic filling machine is used to fill 2-liter bottles of Massafy water. Machine's output is known to be approximately Normal with mean of 2.0 litter and standard deviation of 0.01 litter. Output is monitored using means of samples of 5observations.
a. Determine upper and lower control limits that will include roughly 95.5 percent of sample means.
b. Given se sample means: 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is process in control?