An automatic filling machine is used to fill 1 -liter bottles of cola. The machine's output is approximately normal with a mean of 0.91 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.) b.Given the following sample means-1.005, 1.001, .998, 1.002, .995, and .999 , is the process in control? No Yes c. Is the process in control given the following sample means-1.003, .999,.997,1.001,1.002,.998, and 1.004 ? No Yes An automatic filling machine is used to fill 1 -liter bottles of cola. The machine's output is approximately normal with a mean of 0.91 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.) b.Given the following sample means-1.005, 1.001, .998, 1.002, .995, and .999 , is the process in control? No Yes c. Is the process in control given the following sample means-1.003, .999,.997,1.001,1.002,.998, and 1.004 ? No Yes