Statistical Quality Control (ISS Statistics Paper IV): Questions 16 - 17 of 34

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Question number: 16

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Obtain the control limits for X¯charts for the following data of 25 samples with 4 observations on the basis of volume of the bottles filled.

Given are observations find control limits for X bar Chart

Given are observations find control limits for X bar Chart

Sample No.

Observations

Sample No.

Observations

1

15.85

16.02

15.83

15.93

13

15.85

15.76

15.74

15.98

2

16.12

16.00

15.85

16.01

14

15.73

15.84

15.96

16.10

3

16.00

15.91

15.94

15.83

15

16.20

16.01

16.10

15.89

4

16.20

15.85

15.74

15.93

16

16.12

16.08

15.83

15.94

5

15.74

15.86

16.21

16.10

17

16.01

15.93

15.81

15.68

6

15.94

16.01

16.14

16.03

18

15.78

16.04

16.11

16.12

7

15.75

16.21

16.01

15.86

19

15.84

15.92

16.05

16.12

8

15.82

15.94

16.02

15.94

20

15.92

16.09

16.12

15.93

9

16.04

15.98

15.83

15.98

21

16.11

16.02

16.00

15.88

10

15.64

15.86

15.94

15.89

22

15.98

15.82

15.89

15.89

11

16.11

16.00

16.01

15.82

23

16.05

15.73

15.73

15.93

12

15.72

15.85

16.12

16.15

24

16.01

16.01

15.89

15.86

25

16.08

15.78

15.92

15.98

Explanation

Given are observations finding correct control limits for X bar Chart

Given are observations finding right control limits for X bar Chart

Sample No.

Observations

Total

Sample Mean (X¯)

1

15.85

16.02

15.83

15.93

63.63

15.91

2

16.12

16.00

15.85

16.01

63.98

16.00

3

16.00

15.91

15.94… (279 more words) …

Question number: 17

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

A electric Company uses a process to paint refrigerators with a coat of enamel. During each shift, a sample of five refrigerators is selected and the thickness of the paint in mm is determined. Find upper control limit (UCL) the lower control limit (LCL) for X¯ chart.

Samples and observations in table below

We have a detailed samples and observations given below

Sample No.

Observations

1

2.7

2.3

2.6

2.4

2.7

2

2.6

2.4

2.6

2.3

2.8

3

2.3

2.3

2.4

2.5

2.4

4

2.8

2.3

2.4

2.6

2.7

5

2.6

2.5

2.6

2.1

2.8

6

2.2

2.3

2.7

2.2

2.6

7

2.2

2.6

2.4

2.0

2.3

8

2.8

2.6

2.6

2.7

2.5

9

2.4

2.8

2.4

2.2

2.3

10

2.6

2.3

2.0

2.5

2.4

11

3.1

3.0

3.5

2.8

3.0

12

2.4

2.8

2.2

2.9

2.5

13

2.1

3.2

2.5

2.6

2.8

14

2.2

2.8

2.1

2.2

2.4

15

2.4

3.0

2.5

2.5

2.0

16

3.1

2.6

2.6

2.8

2.1

17

2.9

2.4

2.9

1.3

1.8

18

1.9

1.6

2.6

3.3

3.3

19

2.3

2.6

2.7

2.8

3.2

20

1.8

2.8

2.3

2.0

2.9

Explanation

Samples and observations in table with mean and range

We have a detailed samples and observations given below

Sample No.

Observations

Total

Sample Mean ( X¯)

Sample Range (R)

1

2.7

2.3

2.6

2.4

2.7

12.70

2.54

0.40

2

2.6

2.4

2.6

2.3

2.8

12.70

2.54

0.50

3… (275 more words) …

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