An automatic filling machine is used to fill 1-liter bottles of cola. The machin

Question

An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of .99 liter and a standard deviation of .03 liter. Output is monitored using means of samples of 26 observations. Use Table-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 your answers to 4 decimal places.)

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

An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of .99 liter and a standard deviation of .03 liter. Output is monitored using means of samples of 26 observations. Use Table-A.

Explanation / Answer

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 your answers to 4 decimal places.)

  Upper control limits:

1.0043 liter

Lower control limits:

0.9957 liter

b.

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

Yes

No

No. the process is not in the control.

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 your answers to 4 decimal places.)

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