Problem 10 2 An automatic filling machine is used to fill 1 liter bottles of cola The machines output is approximately normal with a mean of 0 91 liter and a standard deviation of 0 03 liter Output is monitored using means of samples of 27 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 liter Lower control limits liter b Given these sample means 1 005, 1 001, 998, 1 002, 995, and 999, is the process in control No Yes

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Question: Problem 10-2 An automatic filling machine is used to fill 1-liter bottles of cola. The machines output is approximately normal with a mean of 0.91

Problem 10-2

An automatic filling machine is used to fill 1-liter bottles of cola. The machines output is approximately normal with a mean of 0.91 liter and a standard deviation of 0.03 liter. Output is monitored using means of samples of 27 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:	liter
Lower control limits:	liter

b.	Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?

	No Yes

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