Question: Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5

Sample

Size, n

Mean Factor,

A2

Upper Range,

D4

Lower Range,

D3

2

1.880

3.268

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.115

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results:

Hour

x

R

Hour

x

R

Hour

x

R

Hour

x

R

1

3.15"

0.76"

7

3.05"

0.48"

13

3.11"

0.90"

19

3.41"

1.61"

2

3.10

1.13

8

2.55

1.13

14

2.93

1.36

20

2.79

1.09

3

3.12

1.43

9

3.02

0.76

15

3.02

1.06

21

2.75

1.08

4

3.29

1.21

10

2.95

1.38

16

2.84

0.50

22

3.38

0.46

5

3.17

1.12

11

2.73

1.22

17

2.96

1.43

23

3.04

1.63

6

2.86

0.37

12

2.97

0.40

18

2.64

1.24

24

2.64

1.02

Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations):

Upper Control Limit (UCLx) = _____ inches (round your response to three decimal places).

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