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Ludwig Maximilian Process Control Questions

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ACME produces slip-ring bearings, which look like flat donuts or washers. At an early stage in the

production process for a particular slip-ring bearing, the outside diameter of the bearing is measured.

Employees have taken 10 samples (during a 10-hour period) of 5 slip-ring bearings and measured

the diameter of the bearings. The individual observations from each sample (or subgroup) are shown

as follows:

Observations (Slip-Ring Diameter, cm) n

Sample

k 1 2 3 4 5

1 5.02 5.01 4.94 4.99 4.96

2 5.01 5.03 5.07 4.95 4.96

3 4.99 5.00 4.93 4.92 4.99

4 5.03 4.91 5.01 4.98 4.89

5 4.95 4.92 5.03 5.05 5.01

6 4.97 5.06 5.06 4.96 5.03

7 5.05 5.01 5.10 4.96 4.99

8 5.09 5.10 5.00 4.99 5.08

9 5.14 5.10 4.99 5.08 5.09

10 5.01 4.98 5.08 5.07 4.99

Is this process in control? Under what conditions is a process in control? Using Control Charts for

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