Statistical Quality Control [ISS (Statistical Services) Statistics Paper IV]: Questions 1 - 2 of 34

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Question number: 1

» 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?

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

From the above data we get

From the tables, for n = 4, we have, ,

Control limits for :

=0

R Chart from the given are observations

R Chart from the Given Are Observations

Since the sample points fall within

… (33 more words) …

Question number: 2

» Statistical Quality Control » Control Charts » Variable

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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) …

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