22. FILE A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer. The quality control inspector
randomly selects five boards each half-hour, measures the thickness, and records the
results. The measurements (in millimeters) for the period 8:00 a. m. to 10:30 a. m. follow:
Thickness (millimeters)
Time
1
2
3
4
5
8:00
8:30
9:00
9:30
10:00
10:30
87.1
86.9
87.5
86.0
87.1
88.0
87.3
88.5
88.4
88.0
87.1
86.2
87.9
87.6
86.9
87.2
87.1
87.4
87.0
87.5
87.6
87.6
87.1
87.3
87.0
87.4
88.2
87.1
87.1
87.8
a. Determine the control limits for the mean and the range,
b. Plot the control limits for the mean outside diameter and the range.
c. Are there any points on the mean or the range chart that are out of control? Comment
on the chart.
bart of its inspection process taste ite tiran
nany as

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