An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 1.00 liter and a standard deviation of 0.05 liter. Output is monitored using means of samples of 29 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.) liter Upper controllimit Lower controllimis: wher b.Given the following sample means-1.005, 1.001, 998, 1.002, 995, and 999, is the process in control? Yes No