Statistical Quality Control (ISS (Statistical Services) Statistics Paper IV): Questions 27 - 29 of 34

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Question number: 27

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

A machine is manufacturing mica discs. Samples of size 5 are drawn every hour and their thickness in units are recorded as follows. Based on Equation chart, Check whether the production is under control?

Find whether production is under control for R chart

Find whether production is under control for mica discs

Sample No.

Observstions

1

8

9

15

4

11

2

7

10

7

6

8

3

11

12

10

9

10

4

12

8

6

9

12

5

11

10

6

14

11

6

7

7

10

4

11

7

10

7

4

10

10

8

8

11

11

7

7

9

8

11

8

14

12

10

12

9

12

17

11

11

7

7

9

17

13

12

9

9

4

4

11

13

10

12

12

12

12

14

8

11

9

6

8

15

10

13

9

4

9

16

9

11

8

5

11

Explanation

Find whether production is under control for R chart - mica Total, Mean and Range

Find whether production is under control for mica discs

Sample No.

Observations

Sample Range

1

8

9

15

4

11

11

2

7

10

7

6

8

4

3

11

12

10

9

10

3

… (148 more words) …

Question number: 28

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Construct control limits for Equation chart for the following data based on electric fuses, samples of 5 being taken every hour. Using, R-charts test whether the production is under control?

Samples and observations in table as given below

We have a detailed samples and observations given below

Samples and observations in table as given below

We have a detailed samples and observations given below

Sample No.

Observations

1

42

65

75

78

87

2

42

45

68

72

90

3

19

24

80

81

81

4

36

54

69

77

84

5

42

51

57

59

78

6

51

74

75

78

132

7

60

60

72

95

138

8

18

20

27

42

60

9

15

30

39

62

84

10

69

109

113

118

153

11

64

90

93

109

112

12

61

78

94

109

136

Explanation

Samples and observations in table with range given

We have a detailed samples and observations given below

Sample No.

Observations

Sample Range

1

42

65

75

78

87

87

45

2

42

45

68

72

90

90

48

3

19

24

80

81

81

81

62

4

36

54

69

… (130 more words) …

Question number: 29

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Following is the data of 25 samples with 4 observations on the basis of volume of the bottles filled. Using a control limits for Equation chart, Test whether the production is under control?

Samples and observations in table are given

We have a detailed samples and observations given below

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

Samples and observations in table with mean, range and total are given

We have a detailed samples and observations given below

Sample No.

Observations

Total

Sample MeanEquation

RangeEquation

1

15.85

16.02

15.83

15.93

63.63

15.91

0.19

2

16.12

16.00

15.85

16.01

63.98

16.00

0.27

3

16.00

15.91

15.94

… (247 more words) …

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