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 1.00 liter and a standard deviation of 0.03 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.) 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 Yes O No c. Is the process in control given the following sample means-1.003, 999.997, 1.001, 1.002, 998, and 1.004? Yes