An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 0.99 liter and a standard deviation of 0.04 liter. Output is monitored using means of samples of 27 observations. Use Table-A.
a. Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. (Do not round intermediate calculations. Round z value to 2 decimal places. Round your answers to 4 decimal places.)
Upper control limits: liter
Lower control limits: liter
b. Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?
Yes
No