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Please provide an explanation with a detailed example on how to calculate LCL.

Please provide an explanation with a detailed example on how to calculate LCL.

Math   Statistics-And-Probability   
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Answer #1

Formula:

p chart formula

Individual Moving Range chart formula

X bar R chart formula

n

d2

c4

2

1.128

0.7979

3

1.693

0.8862

4

2.059

0.9213

5

2.326

0.9400

6

2.534

0.9515

7

2.704

0.9594

8

2.847

0.9650

9

2.970

0.9693

10

3.078

0.9727

11

3.173

0.9754

12

3.258

0.9776

13

3.336

0.9794

14

3.407

0.9810

15

3.472

0.9823

16

3.532

0.9835

17

3.588

0.9845

18

3.640

0.9854

19

3.689

0.9862

20

3.735

0.9869

For the data in Table 1, the average range and σ are given by:

Using the estimate of the standard deviation from the average range, we can now calculate the control limits:

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