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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 0.93 liters and a standard deviation of 0.02 liter. Output is monitored using means of samples of 29 observations. Use to answer the question. (a) Determine the standard error of the mean. (round your answer to 5 decimal places) s.e. = (b) 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 your answers to 4 decimal places.) Upper control limit = Lower control limit = (c) Given these sample means: 1.005,1.001,.998,1.002,.995, and .999, is the process in control? Write either "Yes" or "No" in the response box below