Statistical Quality Control-Control Charts (ISS Statistics Paper IV): Questions 15 - 16 of 31

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Question number: 15

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

A electric Company uses a process to paint refrigerators with a coat of enamel. During each shift, a sample of five refrigerators is selected and the thickness of the paint in mm is determined. Find upper control limit (UCL) the lower control limit (LCL) for X¯ chart.

Samples and observations in table below

We have a detailed samples and observations given below

Sample No.

Observations

1

2.7

2.3

2.6

2.4

2.7

2

2.6

2.4

2.6

2.3

2.8

3

2.3

2.3

2.4

2.5

2.4

4

2.8

2.3

2.4

2.6

2.7

5

2.6

2.5

2.6

2.1

2.8

6

2.2

2.3

2.7

2.2

2.6

7

2.2

2.6

2.4

2.0

2.3

8

2.8

2.6

2.6

2.7

2.5

9

2.4

2.8

2.4

2.2

2.3

10

2.6

2.3

2.0

2.5

2.4

11

3.1

3.0

3.5

2.8

3.0

12

2.4

2.8

2.2

2.9

2.5

13

2.1

3.2

2.5

2.6

2.8

14

2.2

2.8

2.1

2.2

2.4

15

2.4

3.0

2.5

2.5

2.0

16

3.1

2.6

2.6

2.8

2.1

17

2.9

2.4

2.9

1.3

1.8

18

1.9

1.6

2.6

3.3

3.3

19

2.3

2.6

2.7

2.8

3.2

20

1.8

2.8

2.3

2.0

2.9

Explanation

Samples and observations in table with mean and range

We have a detailed samples and observations given below

Sample No.

Observations

Total

Sample Mean ( X¯)

Sample Range (R)

1

2.7

2.3

2.6

2.4

2.7

12.70

2.54

0.40

2

2.6

2.4

2.6

2.3

2.8

12.70

2.54

0.50

3… (275 more words) …

Question number: 16

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

A machine is manufacturing mica discs. Samples of size 5 are drawn every hour and their thickness in units are recorded as follows. On the basis of X¯ chart, Check whether the production is under control?

Find whether production is under control for mica discs

Find whether production is under control for mica discs

Sample No.

Observations

1

8

9

15

4

11

2

7

10

7

6

8

3

11

12

10

9

10

4

12

8

6

9

12

5

11

10

6

14

11

6

7

7

10

4

11

7

10

7

4

10

10

8

8

11

11

7

7

9

8

11

8

14

12

10

12

9

12

17

11

11

7

7

9

17

13

12

9

9

4

4

11

13

10

12

12

12

12

14

8

11

9

6

8

15

10

13

9

4

9

16

9

11

8

5

11

Explanation

Find whether production is under control for mica discs Total, Mean and Range

Find whether production is under control for mica discs

Sample No.

Observations

Total

Sample Mean

Sample Range

1

8

9

15

4

11

47

9.4

11

2

7

10

7

6

8

38

7.6

4

3

11… (259 more words) …

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