Problem 10-2 (Algo) An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 0.95 liter and a standard deviation of 0.05 liter. Output is monitored using means of samples of 28 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 control limits: Lower control limits: liter b.Given the following sample means-1.005, 1.001.998, 1.002.995, and.999, is the process in control? O No O Yes c. Is the process in control given the following sample means-1.003, 999,997, 1001, 1.002.998, and 1.004? O No Yes