ISS Statistics Paper IV: Questions 34 - 36 of 79

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Question number: 34

» 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 R 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… (189 more words) …

Question number: 35

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Construct control limits for R 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… (186 more words) …

Question number: 36

» 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 X¯ 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 (X¯)

Range (R)

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… (342 more words) …

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