Statistical Quality Control-Control Charts (ISS Statistics Paper IV): Questions 17 - 20 of 31

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Question number: 17

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

a) If the average range for the 4 samples is 0.2 millimeters and the average mean of the observations is 12.5 millimeters, obtain the three-sigma control limits for the sample mean.

b) 5 observations have been taken from the10 samples in order to test the volume in the bags. The average sample range is 0.5 ounces. Obtain the 3-σ limits for the sample range.

Explanation

a) It is given that n = 5 Equation and Equation

For n = 5, The value of Equation

Control limits for Equation:

Equation

Equation

And Equation

b) We are given that, number of observations, n = 5, Equation

For n = 5, from the tables… (11 more words) …

Question number: 18

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

A new oven has been installed in a bakery and to test the efficiency of this, the oven temperature readings have been taken at four different places inside the oven every 30 min. The following table gives readings. Determine the control limits for the mean temperature.

Determine the control limits for the mean temperature

Determine the control limits for the mean temperature

Time

Readings

8: 00

400

500

550

390

8: 30

440

420

380

380

9: 00

410

450

470

430

9: 30

390

390

410

410

10: 00

370

420

460

410

10: 30

390

400

390

400

Explanation

Determine the control limits for the mean temperature Total, Mean and Range

Determine the control limits for the mean temperature

Readings

Total

Sample mean

Sample Range

400

500

550

390

1840

460

160

440

420

380

380

1620

405

60

410

450

470

430

1760

440

60

390

390

410… (46 more words) …

Question number: 19

» Statistical Quality Control » Control Charts » Attributes

Essay Question▾

Describe in Detail

The following are the figures of defectives in 22 lots each containing 2, 000 bulbs. Ind control limit for p-Chart.

Lot of 2000 bulbs with those defective

Finding the correct answer from the choices given below

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 = 2000Equation

Lot of 2000 bulbs with those defective Solving in table we have

Finding the correct answer from the choices given below

S. No.

d

Equation

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… (105 more words) …

Question number: 20

» Statistical Quality Control » Control Charts » Attributes

Essay Question▾

Describe in Detail

Each day a sample of 1500 items from a production process was examined. The number of defectives found in each sample was as follows. With a suitable control chart, check out for control 4, 6, 6, 2, 15, 4, 4

Explanation

We have n = 30Equation

Find whether production is under control for 1500 items Total, Mean and Range

Find whether production is under control for 1500 items

S. No.

d

Equation

1

4

0.00267

2

6

0.00400

3

6

0.00400

4

2

0.00133

5

15

0.01000

6

4

0.00267… (61 more words) …

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