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By utilising Annexure A, answer the following questions: 15 samples of n = 8 have been...

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Basic Math

By utilising Annexure A, answer the following questions:

  1. 15 samples of n = 8 have been taken from a cleaning operation.The average sample range for the 20 samples was 0.016 minutes, andthe average mean was 3 minutes. Determine the three-sigma controllimits for this process.
  2. 15 samples of n = 10 observations have been taken from amilling process. The average sample range is 0.01 centimetres.Determine upper and lower control limits for sample ranges
  3. Determine which of these three processes are capable

Process

Mean

Standard Deviation

Lower Specification

Upper Specification

1

6.0

0.14

5.5

6.7

2

7.5

0.10

7.0

8.0

3

4.6

0.12

4.3

4.9

Numbers of observations in subgroup n

Factor for X- bar Chart

A2

Factors for R Charts

Lower control limit

D3

Factors for R Charts

Upper control limit

D4

2

1.88

0

3.27

3

1.02

0

2.57

4

0.73

0

2.28

5

0.58

0

2.11

6

0.48

0

2.00

7

0.42

0.08

1.92

8

0.37

0.14

1.86

9

0.34

0.18

1.82

10

0.31

0.22

1.78

11

0.29

0.26

1.74

12

0.27

0.28

1.72

13

0.25

0.31

1.69

14

0.24

0.33

1.67

15

0.22

0.35

1.65

16

0.21

0.36

1.64

17

0.20

0.38

1.62

18

0.19

0.39

1.61

19

0.19

0.40

1.60

20

0.18

0.41

1.59

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