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A puppet production factory is monitoring its process and the following data is collected over 5 weeks with one batch randomly sampled from each week.

A puppet production factory is monitoring its process and the following data is collected over 5 weeks with one batch randomly sampled from each week. In each batch, 10 puppets are produced. (time unit: seconds).

Week 1

Week 2

Week 3

Week 4

Week 5

Average Processing time

59.6

64

60.2

61.1

53.6

Range of processing time

8.5

13

12

11.1

7.4

Defective units

0

0

1

2

5

A: Calculate the center limit for the P-chart (4pts)

B: Calculate the LCL (3pts) for the X-chart [hint: sigma unknown]

C: Calculate the UCL (3pts) for the X-chart [hint: sigma unknown]

D: What is the UCL for the R-chart?

E: Calculate the LCL (3pts) for the R-chart of the production process.

F: Based on the control charts results, which one of the following chart best depicts this production process?

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