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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 0.91 liter and a standard deviation of 0.05 liter. Output is monitored using means of samples of 30 observations. Use Table A. a.Determine upper and lower controllimits 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 controllimis: Lower controllimit ter nes b.Given the following sample means-1005, 1.001.998, 1.002, 995, and 999, is the process in control? O No Yes c. is the process in control given the following sample means-1.003.999,997, 1001, 1.002, 998, and 1.0042 No Yes