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Che 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 100 liter and a standard deviation of 0.03 liter. Output is monitored using means of samples of 27 observations. Use Toble-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.) Upper controllimis: Lower control limits: liter liter b.Given the following sample means-1005, 1.001, 998, 1.002.995, and 999, is the process in control? Yes No c. Is the process in control given the following sample means-1003, 999,997, 1001, 1002998, and 1004? Yes . T to search