Reliability & Life Testing Handbook, Volume 1

Appendix H: Two-Sided Tolerance Factors for the Normal Distribution.

Factors K such that the Probability it ? that at least a Proportion 1 - ? of the Distribution Will Be Included between X KS, where X and S Are Estimators of the Mean and the Standard Deviation Computed from a Random Sample of Size n.

?

? = 0.75

? = 0.90

? = 0.95

? = 0.99

n

0.25

0.10

0.05

0.01

0.001

0.25

0.10

0.05

0.01

0.001

0.25

0.10

0.05

0.01

0.001

0.25

0.10

0.05

0.01

0.001

2

4.498

6.301

7.414

9.531

11.920

11.407

15.978

18.800

24.167

30.227

22.858

32.019

37.674

48.430

60.573

114.363

160.193

188.491

242.300

303.054

3

2.501

3.538

4.187

5.431

6.844

4.132

5.847

6.919

8.974

11.309

5.922

8.380

9.916

12.861

16.208

13.378

18.930

22.401

29.055

36.616

4

2.035

2.892

3.431

4.471

5.657

2.932

4.166

4.943

6.440

8.149

3.779

5.369

6.370

8.299

10.502

6.614

9.398

11.150

14.527

18.383

5

1.825

2.599

3.088

4.033

5.117

2.454

3.494

4.152

5.423

6.879

3.002

4.275

5.079

6.634

8.415

4.643

6.612

7.855

10.260

13.015

6

1.704

2.429

2.889

3.779

4.802

2.196

3.131

3.723

4.870

6.188

2.604

3.712

4.414

5.775

7.337

3.743

5.337

6.345

8.301

10.548

7

1.624

2.318

2.757

3.611

4.593

2.034

2.902

3.452

4.521

5.750

2.361

3.369

4.007

5.248

6.676

3.233

4.613

5.488

7.187

9.142

8

1.568

2.238

2.663

3.491

4.444

1.921

2.743

3.264

4.278

5.446

2.197

3.136

3.732

4.891

6.226

2.905

4.147

4.936

6.468

8.234

9

1.525

2.178

2.593

3.400

4.330

1.839

2.626

3.125

4.098

5.220

2.078

2.967

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