Problem 10-2 An automatic filling machine is used to fill 1-liter bottles of col

Question

Problem 10-2 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 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.) Upper control limits: Lower control limits: liter liter b.Given these sample means: 1.005, 1.001,.998, 1.002,.995, and .999, is the process in control? Yes O No

Explanation / Answer

A.

UCL = 1 + 3*.02/sqrt(26) = 1.012
LCL = 1 - 3*.02/sqrt(26) = .988

B.

Yes, the process is in control since all the values are lying between UCL and LCL.

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