Sampling 4 pieces ofprecision-cut wire(to be used in computerassembly) every hour for the past 24 hours has produced the followingresults:

Hour

x

R

Hour

x

R

Hour

x

R

Hour

x

R

1

3.25"

0.71"

7

3.05"

0.53"

13

3.11"

0.85"

19

3.41"

1.61"

2

3.10

1.18

8

2.65

1.13

14

2.83

1.31

20

2.89

1.09

3

3.22

1.43

9

3.02

0.71

15

3.12

1.06

21

2.65

1.08

4

3.39

1.26

10

2.85

1.33

16

2.84

0.50

22

3.28

0.46

5

3.07

1.17

11

2.83

1.17

17

2.86

1.43

23

2.94

1.58

6

2.86

0.32

12

2.97

0.40

18

2.74

1.29

24

2.64

0.97

Based on the samplingdone, 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) =

nothing

inches (round your response to three decimalplaces).

Lower Control Limit (LCLx) =

nothing

inches (round your response to three decimalplaces).

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

IN CONTROL

OUT OF CONTROL

.

The control limits for the 3-sigmaR-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations):

Upper Control Limit (UCLR) =

nothing

inches (round your response to three decimalplaces).

Lower Control Limit (LCLR) =

nothing

inches (round your response to three decimalplaces).

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

IN CONTROL

OUT OF CONTROL

.