ISS (Statistical Services) Statistics Paper IV: Questions 9 - 11 of 92

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Question number: 9

» Statistical Quality Control » Control Charts » Variable

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Essay Question▾

Describe in Detail

A machine is manufacturing mica discs. Samples of size 5 are drawn every hour and their thickness in units is recorded as follows. From this data construct 3-σ control limits for and R charts.

Construct 3 sigma control limit for x bar-chart and R chart

What is the 3 sigma control limit for x bar-chart and R chart

Sample No.

Observstions

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

Control limits for R chart:

For n = 5, from the tables we the value of and

=0

… (30 more words) …

Question number: 10

» Statistical Quality Control » Control Charts » Attributes

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Essay Question▾

Describe in Detail

The following are the figures of defectives in 22 lots each containing 2,000 bulbs. Obtain the 3-σ control limits for the p chart.

Given are observations find control limits for the P - Chart

Given are observations find control limits for P Chart

425

430

216

341

225

322

280

306

337

305

356

402

216

264

126

409

193

326

280

389

451

420

Explanation

we have n = 2000

Given are observations Correct control limits for P Chart

Given are observations control limits for P Chart

S. No.

d

1

425

0.2125

2

430

0.215

3

216

0.108

4

341

0.1705

5

225

0.1125

6

322

0.161

7

280

0.14

8

306

0.153

9

337

0.1685

10

305

0.1525

11

356

0.178

12

402

0.201

13

216

0.108

14

264

0.132

15

126

0.063

16

409

0.2045

17

193

0.0965

… (222 more words) …

Question number: 11

» Statistical Quality Control » Control Charts » Variable

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Essay Question▾

Describe in Detail

A electric Company uses a process to paint cars with a coat of enamel. During each shift, a sample of five cars is selected and the thickness of the paint in mm is determined. On the basis of and R charts, Check whether the production is under control?

Check whether production is under control

Find if production is under control

Sample No.

Observations

1

2.6

2.3

2.6

2.7

2.7

2

2.6

2.6

2.4

2.8

2.3

3

2.4

2.3

2.4

2.5

2.3

4

2.7

2.4

2.3

2.6

2.8

5

2.6

2.6

2.5

2.8

2.1

6

2.2

2.2

2.7

2.3

2.6

7

2.0

2.6

2.4

2.2

2.3

8

2.5

2.6

2.6

2.7

2.8

9

2.4

2.4

2.2

2.8

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

2.0

2.8

2.3

1.8

2.9

Explanation

From the tables, for n = 5, we have , ,

Control limits for :

And

… (181 more words) …

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