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An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 0.99 liter and a standard deviation of 0.04 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.) b. Given the following sample means 1.005,1.001,.998,1.002,.995, and .999 , is the process in control? Yes No c. Is the process in control glven the following sample means 1.003,999,.997,1.001,1.002,.998, and 1.004