Statistical Quality Control-Control Charts (ISS (Statistical Services) Statistics Paper IV): Questions 26 - 27 of 31

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Question number: 26

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Construct control limits for 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

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

77

84

84

48

5

42

51

57

59

78

78

36

6

51

74

75

78

132

132

81

7

60

60

72

95

138

138

78

8

18

20

27

42

60

60

42

9

15

30

39

62

84

84

69

10

69

109

113

118

153

153

84

11

64

90

93

109

112

112

48

12

61

78

94

109

136

136

75

716

… (49 more words) …

Question number: 27

» 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 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 Mean

Range

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

15.83

63.68

15.92

0.17

4

16.20

15.85

15.74

15.93

63.72

15.93

0.46

5

15.74

15.86

16.21

16.10

63.91

15.98

0.47

6

15.94

16.01

16.14

16.03

64.12

16.03

0.20

7

15.75

16.21

16.01

15.86

63.83

15.96

0.46

8

15.82

15.94

16.02

15.94

63.72

15.93

0.20

9

16.04

15.98

15.83

15.98

63.83

15.96

0.21

10

15.64

15.86

15.94

15.89

63.33

15.83

0.30

11

16.11

16.00

16.01

15.82

63.94

15.99

0.29

12

15.72

15.85

16.12

16.15

63.84

15.96

0.43

13

15.85

15.76

15.74

15.98

63.33

15.83

0.24

14

15.73

15.84

15.96

16.10

63.63

15.91

0.37

15

16.20

16.01

16.10

15.89

64.20

16.05

0.31

16

16.12

16.08

15.83

15.94

63.97

15.99

0.29

17

16.01

15.93

15.81

15.68

63.43

15.86

0.33

18

15.78

16.04

16.11

16.12

64.05

16.01

0.34

19

15.84

15.92

16.05

16.12

63.93

15.98

0.28

20

15.92

16.09

16.12

15.93

64.06

16.02

0.20

21

16.11

16.02

16.00

15.88

64.01

16.00

0.23

22

15.98

15.82

15.89

15.89

63.58

15.90

0.16

23

16.05

15.73

15.73

15.93

63.44

15.86

0.32

24

16.01

16.01

15.89

15.86

63.77

15.94

0.15

25

16.08

15.78

15.92

15.98

63.76

15.94

0.30

398.67

7.17

… (62 more words) …

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