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158

Tables

1 Standard normal - z 469

2 t Critical points 470

3 x2 Critical points 471

4 F Critical points 472



0 z„

1 Standard Normal, Cumulative Probability in Right-Hand Tail (For Negative Values of z, Areas are Found by Symmetry)

NEXT DECIMAL PLACE OF z,

.500

.496

.492

.488

.484

.480

.476

.472

.468

.464

.460

.456

.452

.448

.444

.440

.436

.433

.429

.425

.421

.417

.413

.409

.405

.401

.397

.394

.390

.386

.382

.378

.374

.371

.367

.363

.359

.356

.352

.348

.345

.341

.337

.334

.330

.326

.323

.319

.316

.312

.309

.305

.302

.298

.295

.291

.288

.284

.281

.278

.274

.271

.268

.264

.261

.258

.255

.251

.248

.245

.242

.239

.236

.233

.230

.227

.224

.221

.218

.215

.212

.209

.206

.203

.200

.198

.195

.192

.189

.187

.184

.181

.179

.176

.174

.171

.169

.166

.164

.161

.159

.156

.154

.152

.149

.147

.145

.142

.140

.138

.136

.133

.131

.129

.127

.125

.123

.121

.119

.117

.115

.113

.111

.109

.107

.106

.104

.102

.100

.099

.097

.095

.093

.092

.090

.089

.087

.085

.084

.082

.081

.079

.078

.076

.075

.074

.072

.071

.069

.068

.067

.066

.064

.063

.062

.061

.059

.058

.057

.056

.055

.054

.053

.052

.051

.049

.048

.047

.046

.046

.045

.044

.043

.042

.041

.040

.039

.038

.038

.037

.036

.035

.034

.034

.033

.032

.031

.031

.030

.029

.029

.028

.027

.027

.026

.026

.025

.024

.024

.023

.023

.022

.022

.021

.021

.020

.020

.019

.019

.018

.018

.017

.017

.017

.016

.016

.015

.015

.015

.014

.014

.014

.013

.013

.013

.012

.012

.012

.011

.011

.011

.010

.010

.010

.010

.009

.009

.009

.009

.008

.008

.008

.008

.008

.007

.007

.007

.007

.007

.006

.006

.006

.006

.006

.006

.005

.005

.005

.005

.005

.005

.005

.004

.004

.004

.004

.004

.004

.004

.004

.003

.003

.003

.003

.003

.003

.003

.003

.003

.003

.003

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.002

.001

.001

.001

DETAIL OF TAIL (.2135, FOR EXAMPLE, MEANS .00135)

.,228

.,179

.,139

.,107

.2820

.2621

.2466

.2347

.2256

.,187

.,135

.,968

.,687

.,483

.3337

.3233

,3159

.,108

.4723

.4481

.4317

.4207

.4133

.5854

.5541

.5340

.5211

,5130

.6793

.6479

.6287

.6170

,7996

.7579

,7333

.7190

.7107

.8599

•8332

,8182



Critical point. For example: (.025 leaves .025 probability in the tail.

2 t Critical Points

d.f-

.025

.010

.005

.0025

.0010

.0005

1.00

3.08

6.31

12.7

31.8

63.7

1.89

2.92

4.30

6.96

9.92

14.1

22.3

31.6

1.64

2.35

3.18

4.54

5.84

7.45

10.2

12.9

1.53

2.13

2.78

3.75

4.60

5.60

7.17

8.61

1.48

2.02

2.57

3.36

4.03

4.77

5.89

6.87

1.44

1.94

2.45

3.14

3.71

4.32

5.21

5.96

1.41

1.89

2.36

3.00

3.50

4.03

4.79

5.41

1.40

1.86

2.31

2.90

3.36

3.83

4.50

5.04

1.38

1.83

2.26

2.82

3.25

3.69

4.30

4.78

1.37

1.81

2.23

2.76

3.17

3.58

4.14

4.59

1.36

1.80

2.20

2.72

3.11

3.50

4.02

4.44

1.36

1.78

2.18

2.68

3.05

3.43

3.93

4.32

1.35

1.77

2.16

2.65

3.01

3.37

3.85

4.22

1.35

1.76

2.14

2.62

2.98

3.33

3.79

4.14

1.34

1.75

2.13

2.60

2.95

3.29

3.73

4.07

1.34

1.75

2.12

2.58

2.92

3.25

3.69

4.01

1.33

1.74

2.11

2.57

2.90

3.22

3.65

3.97

1.33

1.73

2.10

2.55

2.88

3.20

3.61

3.92

1.33

1.73

2.09

2.54

2.86

3.17

3.58

3.88

1.33

1.72

2.09

2.53

2.85

3.15

3.55

3.85

1.32

1.72

2.08

2.52

2.83

3.14

3.53

3.82

1.32

1.72

2.07

2.51

2.82

3.12

3.50

3.79

1.32

1.71

2.07

2.50

2.81

3.10

3.48

3.77

1.32

1.71

2.06

2.49

2.80

3.09

3.47

3.75

1.32

1.71

2.06

2.49

2.79

3.08

3.45

3.73

1.31

1.71

2.06

2.48

2.78

3.07

3.43

3.71

1.31

1.70

2.05

2.47

2.77

3.06

3.42

3.69

1.31

1.70

2.05

2.47

2.76

3.05

3.41

3.67

1.31

1.70

2.05

2.46

2.76

3.04

3.40

3.66

1.31

1.70

2.04

2.46

2.75

3.03

3.39

3.65

1.30

1.68

2.02

2.42

2.70

2.97

3.31

3.55

1.30

1.67

2.00

2.39

2.66

2.92

3.23

3.46

1.29

1.66

1.98

2.36

2.62

2.86

3.16

3.37

1.28

1.64

1.96

2.33

2.58

2.81

3.09

3.29

= Z,25

= zio

= z.05

= z.025

= z.010

= z.oos

= z.0025

= z.0010

= z.0005



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