Question: Three samples have been taken from a machine that is used to fill 3-liter bottles of water, where each sample consists of 10 observations. Sample

Three samples have been taken from a machine that is used to fill 3-liter bottles of water, where each sample consists of 10 observations. Sample means and ranges are given in the table below.

Sample

Mean (liters)

Range (liters)

1

3.012

0.023

2

3.010

0.011

3

2.987

0.042

What can you conclude from the mean and range charts?

Both the mean and range charts show the process is in control.

Both the mean and range charts show the process is out of control.

None of the above.

The mean chart shows the process is in control, but the range chart shows the opposite.

The range chart shows the process is in control, but the mean chart shows the opposite.

Three samples have been taken from a machine that is used to fill 3-liter bottles of water, where each sample consists of 10 observations. Sample means and ranges are given in the table below.

Sample

Mean (liters)

Range (liters)

1

3.012

0.023

2

3.010

0.011

3

2.987

0.042

What is the upper control limit (UCL) for the mean chart?

3.043

3.008

3.102

3.025

3.003

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