Statistical Quality Control-Control Charts (ISS Statistics Paper IV): Questions 1 - 3 of 31

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Question number: 1

» 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 R chart, test whether the production is under control?

Given are observations finding the correct mean and range values

Given are observations and we aim to check the production

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 find range and its values

Given are observations on which we are finding the range

Sample No.

Observations

Range (R)

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… (236 more words) …

Question number: 2

» 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 X¯ 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… (45 more words) …

Question number: 3

» 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 R chart.

2) Construct 3- σ control limits for X¯ 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… (447 more words) …

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