how do you solve this problem?

An automatic filling machine, is used to fill 1.liter bottles of cola. The machine's output is approximately normal with a mean of 1.00 itter and a standard deviation of 0.05 liter. Output is monitored using means of samples of 29 observations. Use Table-A o. 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 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-1.003, 999,997,1.001,1002,998, and 1.004? Yes