Problem 10-2 (Algo) An automaticing machine and to ter bottles of the machines output proximately normal with a mean of 100 tter and a standard deviation of 0.02 iter Output is monitored using means of samples of 26 observations. Une Table:A 2.Determine upper and lower controllits that will include roughly 97 percent of the sample mears when the process is in control (Do not found intermediate calculations. Round value to 2 decimal places. Round your answers to 4 decimal places) b.Given the following sample means-1005, 1.001, 998, 1.002.995, and 999, is the process in control? Yes O No c is the process in control given the folowing sample means-1003, 999,997, 1001, 1002, 998, and 1.004? O Yes O NO Problem 10-2 (Algoj 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 0.02 liter. Output is monitored using means of samples of 26 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 controllimit Low control limits liter b.Given the following sample means-1005, 1.001.998, 1.002.995, and .999, is the process in control? Yes O No c. Is the process in control given the following sample means-1003, .999,997, 1.001.1.002.998, and 1.004? Yes O No