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Operator 1 Machine 1 Sample 1 0.500 0.498 0.502 0.499 0.503 Sample 2 0.496 0.497 0.500 0.502 0.499 Sample 3 0.504 0.503 0.503 0.496 0.495

Operator 1 Machine 1

Sample 1

0.500

0.498

0.502

0.499

0.503

Sample 2

0.496

0.497

0.500

0.502

0.499

Sample 3

0.504

0.503

0.503

0.496

0.495

Sample 4

0.503

0.501

0.498

0.497

0.500

Sample 5

0.500

0.502

0.503

0.498

0.495

Sample 6

0.505

0.496

0.504

0.503

0.502

Operator 2 Machine 2

Sample 1

0.495

0.497

0.495

0.502

0.500

Sample 2

0.505

0.510

0.503

0.511

0.504

Sample 3

0.504

0.503

0.502

0.502

0.501

Sample 4

0.500

0.501

0.497

0.496

0.504

Sample 5

0.501

0.512

0.510

0.508

0.504

Sample 6

0.503

0.500

0.497

0.496

0.504

1. Calculate the control charts (UCL, CL, and LCL) for each operator machine combination separately. needs to be completed for both X-Bar (Average) and R-Bar (Range) charts. Draw conclusions from the charts about each operator-machine combination

2. What should be done based on the calculations from Question 1?

3. What is the process capability for each operator-machine combination?

4. Can you be sure that all the parts produced by in-control processes will meet the specifications? Why or why not?

5. Identify and explain any underlying assumptions for the calculations done here.

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