Question: please show your work!Thank you Problem 1 An automatic filling machine is used to fill two-litre bottles of cola. The machine's output is known to

please show your work!Thank you

Problem 1 An automatic filling machine is used to fill two-litre bottles of cola. The machine's output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of .01 litres. Output is monitored using means of samples of five observations. a) Determine the two-sigma upper and lower control limits for the sample means b) If the means for 6 samples are: 2.005, 2.001, 1.998, 2.002, 1.995, and 1.999, is the process in control

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