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0 X 1.TX T 1 .III .2. 3 .III.4. III .5. III .6. II . , 7 . i. Resistors for electronic circuits are manufactured on a high-sp

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Answer #1

# SAMPLE

1

2

3

4

AVERAGE

RANGE

1

1000

992

1014

1026

1008

34

2

1006

977

1027

1016

1006.5

50

3

985

1029

1018

992

1006

44

4

1001

1006

971

1000

994.5

35

5

1028

970

979

1025

1000.5

58

6

997

1026

1007

1003

1008.25

29

7

1016

1003

987

1006

1003

29

8

995

1029

978

986

997

51

9

1027

995

1003

1008

1008.25

32

10

991

987

981

996

988.75

15

11

994

1000

978

971

985.75

29

12

999

983

973

1005

990

32

13

1003

993

974

1002

993

29

14

1005

972

994

1000

992.75

33

15

1012

1018

982

1014

1006.5

36

AVERAGE

999.25

35.733


XBAR = 999.25

RBAR = 35.733

A2 VALUE CORRESPONDING TO N = 4 = 0.73

D3 & D4 VALUES CORRESPONDING TO N = 0, 2.28

CONTROL LIMITS FOR XBAR

UCL X = XBAR + (A2 * RBAR) = 999.25 + (0.73 * 35.733) = 1025.335

LCL X = XBAR - (A2 * RBAR) = 999.25 - (0.73 * 35.733) = 973.165

CONTROL LIMITS FOR RBAR

UCL R = RBAR * D4 = 35.733 * 2.28 = 81.471

LCL R = RBAR * D3 = 35.733 * 0 = 0

THE PROCESS IS IN STATISTICAL CONTROL AS ALL THE POINTS ARE WITHIN THE CONTROL LIMITS.

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