ISS (Statistical Services) Statistics Paper IV: Questions 6 - 8 of 79

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Question number: 6

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Which control charts are used for continuous data? What is the chart we use to test the quality characteristics of a product such as diameter of a screw known as?

Explanation

Variable data are measured on a continuous scale. Control chart for variables are applied to data with continuous distribution. And Equation and R charts are two types of variable charts. Continuous data can take infinite number of values between whole numbers. For example: Age, time, weight, distance or temperature can

… (44 more words) …

Question number: 7

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

1) When the characteristic representing the quality of a product is a discrete variable which chart can be used? Find 3- σ control limits on the Equation chart.

2) Construct 3- σ control limits for Equation and R charts for the following data, based on fuses, samples of 5 being taken every hour.

Given are observations and samples in the table below

Given are observations & samples in the table below

Sample No.

Observations

1

42

65

75

78

87

87

2

42

45

68

72

90

90

3

19

24

80

81

81

81

4

36

54

69

77

84

84

5

42

51

57

59

78

78

6

51

74

75

78

132

132

7

60

60

72

95

138

138

8

18

20

27

42

60

60

9

15

30

39

62

84

84

10

69

109

113

118

153

153

11

64

90

93

109

112

112

12

61

78

94

109

136

136

Explanation

  1. Discrete data is a data that can be counted and cannot have fractions or decimals. Control charts for attributes are used to measure quality characteristics that are counted rather than measured e. g. Number of broken eggs in a box, number of defective rivets in an aircraft wing.

    3- σ

… (249 more words) …

Question number: 8

» 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. Obtain the control limits for Equation .

Given are observations find control limits for R Chart

Given are observations find control limits for R 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 R Chart

Given are observations finding control limits for R Chart

Sample No.

Observations

RangeEquation

1

15.85

16.02

15.83

15.93

0.19

2

16.12

16.00

15.85

16.01

0.27

3

16.00

15.91

15.94

15.83

0.17

4

16.20

15.85

15.74

15.93

0.46

5

15.74

… (135 more words) …

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