An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 0.92 liter and a standard deviation of 0.02 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 control limits: Lower control limits liter b.Given the following sample means-1005, 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 means1.003, 999,997, 1.001, 1.002, 998, and 1.004? O Yes