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An automatic filling machine is used to fill 2-litres bottles of cola. The machines output is known to be approximately Normal with a mean of

An automatic filling machine is used to fill 2-litres bottles of cola. The machines output is known to be approximately Normal with a mean of 1.0 litre and a standard deviation of .011 litres. Output is monitored using means of samples of nine observations.

a. Determine the upper and lower control limits that will include roughly 99.73 percent of the sample means. (Round the final answers to 3 decimal places.)

Upper Control limits litres Lower Control limits litres

b. If the means for 6 samples are 1.009, .992, .995, 1.000, 1.007, and .995, is the process in control? multiple choice

Yes

No

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