ISS (Statistical Services) Statistics Paper IV: Questions 6 - 8 of 92

Access detailed explanations (illustrated with images and videos) to 92 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Unlimited Access for Unlimited Time! View Sample Explanation or View Features.

Rs. 350.00 or

How to register?

Question number: 6

» Statistical Quality Control » Control Charts » Variable

Edit
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 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 be measured in fractions or

… (39 more words) …

Question number: 7

» Statistical Quality Control » Control Charts » Variable

Edit
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 chart.

2) Construct 3- σ control limits for 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 control limits on the chart are given by .

… (381 more words) …

Question number: 8

» Statistical Quality Control » Control Charts » Variable

Edit
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 .

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

Control limits for R- chart:

=0

… (26 more words) …

Developed by: