MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C751EC.8A6931B0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C751EC.8A6931B0 Content-Location: file:///C:/0B8BB24E/Student'st-Distribution.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Student's t-Distribution

Student's t-Distribution

<= o:p> 

How to Use the Table:

·         Find your degrees of freedom in the df column and use that <= b>row to find the next smaller number.

·         Read the probability in the top row. Since your t will probably be
a little bit bigger than the value in the table, your P will be smaller, eg., P <0.01

·         If your t is to the right of all numbers, then P <0.0005 (good!)

·         Remember that P <0.05 is the arbitrary value that is generally accepted to be significant (There must be less than a 5% possibility that the difference between means is due to chance.= )

 t distribution critical values=

df

.25

.20

.15

.10

.05

.025

.02

.01

.005

.0025

.001

.0005

1<= o:p>

1.000

1.376

1.963

3.078

6.314

12.71

15.89

31.82

63.66

127.3

318.3

636.6

2<= o:p>

.816

1.061

1.386

1.886

2.920

4.303

4.849

6.965

9.925

14.09

22.33

31.60

3<= o:p>

.765

.978

1.250

1.638

2.353

3.182

3.482

4.541

5.841

7.453

10.21

12.92

4<= o:p>

.741

.941

1.190

1.533

2.132

2.776

2.999

3.747

4.604

5.598

7.173

8.610

5<= o:p>

.727

.920

1.156

1.476

2.015

2.571

2.757

3.365

4.032

4.773

5.893

6.869

6<= o:p>

.718

.906

1.134

1.440

1.943

2.447

2.612

3.143

3.707

4.317

5.208

5.959

7<= o:p>

.711

.896

1.119

1.415

1.895

2.365

2.517

2.998

3.499

4.029

4.785

5.408

8<= o:p>

.706

.889

1.108

1.397

1.860

2.306

2.449

2.896

3.355

3.833

4.501

5.041

9<= o:p>

.703

.883

1.100

1.383

1.833

2.262

2.398

2.821

3.250

3.690

4.297

4.781

10=

.700

.879

1.093

1.372

1.812

2.228

2.359

2.764

3.169

3.581

4.144

4.587

11=

.697

.876

1.088

1.363

1.796

2.201

2.328

2.718

3.106

3.497

4.025

4.437

12=

.695

.873

1.083

1.356

1.782

2.179

2.303

2.681

3.055

3.428

3.930

4.318

13=

.694

.870

1.079

1.350

1.771

2.160

2.282

2.650

3.012

3.372

3.852

4.221

14=

.692

.868

1.076

1.345

1.761

2.145

2.264

2.624

2.977

3.326

3.787

4.140

15=

.691

.866

1.074

1.341

1.753

2.131

2.249

2.602

2.947

3.286

3.733

4.073

16=

.690

.865

1.071

1.337

1.746

2.120

2.235

2.583

2.921

3.252

3.686

4.015

17=

.689

.863

1.069

1.333

1.740

2.110

2.224

2.567

2.898

3.222

3.646

3.965

18=

.688

.862

1.067

1.330

1.734

2.101

2.214

2.552

2.878

3.197

3.611

3.922

19=

.688

.861

1.066

1.328

1.729

2.093

2.205

2.539

2.861

3.174

3.579

3.883

20=

.687

.860

1.064

1.325

1.725

2.086

2.197

2.528

2.845

3.153

3.552

3.850

21=

.663.

.859

1.063

1.323

1.721

2.080

2.189

2.518

2.831

3.135

3.527

3.819

22=

.686

.858

1.061

1.321

1.717

2.074

2.183

2.508

2.819

3.119

3.505

3.792

23=

.685

.858

1.060

1.319

1.714

2.069

2.177

2.500

2.807

3.104

3.485

3.768

24=

.685

.857

1.059

1.318

1.711

2.064

2.172

2.492

2.797

3.091

3.467

3.745

25=

.684

.856

1.058

1.316

1.708

2.060

2.167

2.485

2.787

3.078

3.450

3.725

26=

.684

.856

1.058

1.315

1.706

2.056

2.162

2.479

2.779

3.067

3.435

3.707

27=

.684

.855

1.057

1.314

1.703

2.052

2.15

2.473

2.771

3.057

3.421

3.690

28=

.683

.855

1.056

1.313

1.701

2.048

2.154

2.467

2.763

3.047

3.408

3.674

29=

.683

.854

1.055

1.311

1.699

2.045

2.150

2.462

2.756

3.038

3.396

3.659

30=

.683

.854

1.055

1.310

1.697

2.042

2.147

2.457

2.750

3.030

3.385

3.646

40=

.681

.851

1.050

1.303

1.684

2.021

2.123

2.423

2.704

2.971

3.307

3.551

50=

.679

.849

1.047

1.295

1.676

2.009

2.109

2.403

2.678

2.937

3.261

3.496

60=

.679

.848

1.045

1.296

1.671

2.000

2.099

2.390

2.660

2.915

3.232

3.460

80=

.678

.846

1.043

1.292

1.664

1.990

2.088

2.374

2.639

2.887

3.195

3.416

10= 0

.677

.845

1.042

1.290

1.660

1.984

2.081

2.364

2.626

2.871

3.174

3.390

10= 00

.675

.842

1.037

1.282

1.646

1.962

2.056

2.330

2.581

2.813

3.098

3.300

in= f.

.674

.841

1.036

1.282

1.64

1.960

2.054

2.326

2.576

2.807

3.091

3.291

 

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