ISS (Statistical Services) Statistics Paper IV: Questions 34 - 36 of 92

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Question number: 34

» Statistical Quality Control » Control Charts » Variable

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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 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

Control limits for R chart:

For n = 5, from the tables we the value of and

=0

Production is under control for mica discs as shown

Production is under Control for Mica Discs as Shown

Since all the points fall within the control limits, the process is under c

… (30 more words) …

Question number: 35

» Statistical Quality Control » Control Charts » Variable

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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

From the above data we get

From the tables, for n = 5, ,

Control limits for R :

=0

R Chart – Range, Cl, UCL and LCL

R Chart – Range, Cl, UCL and LCL

Since all the sample points fall within the co

… (32 more words) …

Question number: 36

» Statistical Quality Control » Control Charts » Variable

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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

From the above data we get

From the tables, for n = 4, we have

Control limits for :

And

… (86 more words) …

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