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

Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)

LOADING...

for this problem.

Sampling

44

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

Hour

Bold x overbarx

R

Hour

Bold x overbarx

R

Hour

Bold x overbarx

R

Hour

Bold x overbarx

R

1

3.153.15"

0.760.76"

7

3.153.15"

0.530.53"

13

3.213.21"

0.800.80"

19

4.514.51"

1.561.56"

2

3.203.20

1.181.18

8

2.552.55

1.081.08

14

2.832.83

1.361.36

20

2.992.99

1.041.04

3

3.223.22

1.381.38

9

2.922.92

0.760.76

15

3.223.22

1.111.11

21

2.752.75

1.031.03

4

3.493.49

1.261.26

10

2.852.85

1.381.38

16

2.842.84

0.500.50

22

3.383.38

0.460.46

5

2.972.97

1.221.22

11

2.732.73

1.221.22

17

2.862.86

1.381.38

23

2.842.84

1.581.58

6

2.762.76

0.320.32

12

2.972.97

0.350.35

18

2.842.84

1.241.24

24

2.742.74

0.920.92

Based on the sampling done,

the

control limits for 3-sigma

x overbarx

chart are (round all intermediate calculations to three decimal places before proceeding with further

calculations):

Upper Control Limit

(UCL Subscript x overbarUCLx)

=

nothing

inches (round your response to three decimal places).

Lower Control Limit

(LCL Subscript x overbarLCLx)

=

nothing

inches (round your response to three decimal places).

Based on the

x overbarx-chart,

the wire cutting process has been

OUT OF CONTROL

IN CONTROL

.

The control limits for the

3-sigma

R-chart are (round all intermediate calculations to three decimal places before proceeding with further

calculations):

Upper Control Limit

(UCL Subscript Upper RUCLR)

=

nothing

inches (round your response to three decimal places).

Lower Control Limit

(LCL Subscript Upper RLCLR)

=

nothing

inches (round your response to three decimal places).

Based on the R-chart, the wire cutting process has been

IN CONTROL

OUT OF CONTROL

.

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