Statistical Quality Control-Control Charts (ISS (Statistical Services) Statistics Paper IV): Questions 9 - 11 of 31

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Question number: 9

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Construct a control chart for mean for the following data based on fuses, samples of 5 being taken every hour. Check whether the production is under control?

Given are observations find whether the production is under control

Given are observations Is whether the production is under control?

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

Total

859.2

716

Explanation

Given are observations Calculating if production is under control

Given are observations Production is under control

Sample No.

Observations

Total

Sample Mean (Equation )

Sample Range

1

42

65

75

78

87

87

347

69.4

45

2

42

45

68

72

90

90

317

63.4

48

3

19

24

… (168 more words) …

Question number: 10

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

a) What are control charts for Attributes?

b) A quality control inspector at the Pepsi soft drink company has taken twenty-five samples with four observations each of the volume of bottles filled. If the average rangeEquation for the twenty-five samples is. 29 ounces and the average meanEquation Equation of the observations is 15.95 ounces, obtain 3- σ control limits for Equation ?

Explanation

a) To measure the quality characteristics, Control charts for attributes are used, that are counted rather than measured. P-charts and C-charts are common types of control charts used to measure the attributes.

P-charts measure the proportion of items in a sample that are defective. For example, proportion of broken eggs

… (84 more words) …

Question number: 11

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

Following data gives the diameter of the rings manufactured by a company. Obtain the control limits for R Chart?

Given values with observations

Sample is given with observations

Sample No.

Observations

1

5.02

5.01

4.94

4.99

4.96

2

5.01

5.03

5.07

4.95

4.96

3

4.99

5.00

4.93

4.92

4.99

4

5.03

4.91

5.01

4.98

4.89

5

4.95

4.92

5.03

5.05

5.01

6

4.97

5.06

5.06

4.96

5.03

7

5.05

5.01

5.10

4.96

4.99

8

5.09

5.10

5.00

4.99

5.08

9

5.14

5.10

4.99

5.08

5.09

10

5.01

4.98

5.08

5.07

4.99

Explanation

Given values with observations Calculate range

Sample is given with observations

Sample No.

Observations

Range

1

5.02

5.01

4.94

4.99

4.96

0.08

2

5.01

5.03

5.07

4.95

4.96

0.12

3

4.99

5.00

4.93

4.92

4.99

0.08

4

5.03

4.91

5.01

4.98

4.89

0.14

5

4.95

4.92

5.03

5.05

5.01

0.13

… (62 more words) …

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