Areas Under the Unit Normal Distribution
Mean:
S.D.:
Score:
Above
Below
Above +z and below -z
Sample Mean:
N:
μ
0
:
σ:
α:
H
0
: μ = μ
0
H
0
: μ ≤ μ
0
H
0
: μ ≥ μ
0
z
Below z
Above z
Between mean and z
Ordinate
0.00
0.5000
0.5000
0.0000
0.3989
0.01
0.5040
0.4960
0.0040
0.3989
0.02
0.5080
0.4920
0.0080
0.3989
0.03
0.5120
0.4880
0.0120
0.3988
0.04
0.5160
0.4840
0.0160
0.3986
0.05
0.5199
0.4801
0.0199
0.3984
0.06
0.5239
0.4761
0.0239
0.3982
0.07
0.5279
0.4721
0.0279
0.3980
0.08
0.5319
0.4681
0.0319
0.3977
0.09
0.5359
0.4641
0.0359
0.3973
z
Below z
Above z
Between mean and z
Ordinate
0.10
0.5398
0.4602
0.0398
0.3970
0.11
0.5438
0.4562
0.0438
0.3965
0.12
0.5478
0.4522
0.0478
0.3961
0.13
0.5517
0.4483
0.0517
0.3956
0.14
0.5557
0.4443
0.0557
0.3951
0.15
0.5596
0.4404
0.0596
0.3945
0.16
0.5636
0.4364
0.0636
0.3939
0.17
0.5675
0.4325
0.0675
0.3932
0.18
0.5714
0.4286
0.0714
0.3925
0.19
0.5753
0.4247
0.0753
0.3918
z
Below z
Above z
Between mean and z
Ordinate
0.20
0.5793
0.4207
0.0793
0.3910
0.21
0.5832
0.4168
0.0832
0.3902
0.22
0.5871
0.4129
0.0871
0.3894
0.23
0.5910
0.4090
0.0910
0.3885
0.24
0.5948
0.4052
0.0948
0.3876
0.25
0.5987
0.4013
0.0987
0.3867
0.26
0.6026
0.3974
0.1026
0.3857
0.27
0.6064
0.3936
0.1064
0.3847
0.28
0.6103
0.3897
0.1103
0.3836
0.29
0.6141
0.3859
0.1141
0.3825
z
Below z
Above z
Between mean and z
Ordinate
0.30
0.6179
0.3821
0.1179
0.3814
0.31
0.6217
0.3783
0.1217
0.3802
0.32
0.6255
0.3745
0.1255
0.3790
0.33
0.6293
0.3707
0.1293
0.3778
0.34
0.6331
0.3669
0.1331
0.3765
0.35
0.6368
0.3632
0.1368
0.3752
0.36
0.6406
0.3594
0.1406
0.3739
0.37
0.6443
0.3557
0.1443
0.3725
0.38
0.6480
0.3520
0.1480
0.3712
0.39
0.6517
0.3483
0.1517
0.3697
z
Below z
Above z
Between mean and z
Ordinate
0.40
0.6554
0.3446
0.1554
0.3683
0.41
0.6591
0.3409
0.1591
0.3668
0.42
0.6628
0.3372
0.1628
0.3653
0.43
0.6664
0.3336
0.1664
0.3637
0.44
0.6700
0.3300
0.1700
0.3621
0.45
0.6736
0.3264
0.1736
0.3605
0.46
0.6772
0.3228
0.1772
0.3589
0.47
0.6808
0.3192
0.1808
0.3572
0.48
0.6844
0.3156
0.1844
0.3555
0.49
0.6879
0.3121
0.1879
0.3538
z
Below z
Above z
Between mean and z
Ordinate
0.50
0.6915
0.3085
0.1915
0.3521
0.51
0.6950
0.3050
0.1950
0.3503
0.52
0.6985
0.3015
0.1985
0.3485
0.53
0.7019
0.2981
0.2019
0.3467
0.54
0.7054
0.2946
0.2054
0.3448
0.55
0.7088
0.2912
0.2088
0.3429
0.56
0.7123
0.2877
0.2123
0.3410
0.57
0.7157
0.2843
0.2157
0.3391
0.58
0.7190
0.2810
0.2190
0.3372
0.59
0.7224
0.2776
0.2224
0.3352
z
Below z
Above z
Between mean and z
Ordinate
0.60
0.7257
0.2743
0.2257
0.3332
0.61
0.7291
0.2709
0.2291
0.3312
0.62
0.7324
0.2676
0.2324
0.3292
0.63
0.7356
0.2644
0.2356
0.3271
0.64
0.7389
0.2611
0.2389
0.3251
0.65
0.7421
0.2579
0.2421
0.3230
0.66
0.7454
0.2546
0.2454
0.3209
0.67
0.7486
0.2514
0.2486
0.3187
0.68
0.7517
0.2483
0.2517
0.3166
0.69
0.7549
0.2451
0.2549
0.3144
z
Below z
Above z
Between mean and z
Ordinate
0.70
0.7580
0.2420
0.2580
0.3123
0.71
0.7611
0.2389
0.2611
0.3101
0.72
0.7642
0.2358
0.2642
0.3079
0.73
0.7673
0.2327
0.2673
0.3056
0.74
0.7703
0.2297
0.2703
0.3034
0.75
0.7734
0.2266
0.2734
0.3011
0.76
0.7764
0.2236
0.2764
0.2989
0.77
0.7793
0.2207
0.2793
0.2966
0.78
0.7823
0.2177
0.2823
0.2943
0.79
0.7852
0.2148
0.2852
0.2920
z
Below z
Above z
Between mean and z
Ordinate
0.80
0.7881
0.2119
0.2881
0.2897
0.81
0.7910
0.2090
0.2910
0.2874
0.82
0.7939
0.2061
0.2939
0.2850
0.83
0.7967
0.2033
0.2967
0.2827
0.84
0.7995
0.2005
0.2995
0.2803
0.85
0.8023
0.1977
0.3023
0.2780
0.86
0.8051
0.1949
0.3051
0.2756
0.87
0.8078
0.1922
0.3078
0.2732
0.88
0.8106
0.1894
0.3106
0.2709
0.89
0.8133
0.1867
0.3133
0.2685
z
Below z
Above z
Between mean and z
Ordinate
0.90
0.8159
0.1841
0.3159
0.2661
0.91
0.8186
0.1814
0.3186
0.2637
0.92
0.8212
0.1788
0.3212
0.2613
0.93
0.8238
0.1762
0.3238
0.2589
0.94
0.8264
0.1736
0.3264
0.2565
0.95
0.8289
0.1711
0.3289
0.2541
0.96
0.8315
0.1685
0.3315
0.2516
0.97
0.8340
0.1660
0.3340
0.2492
0.98
0.8364
0.1636
0.3364
0.2468
0.99
0.8389
0.1611
0.3389
0.2444
z
Below z
Above z
Between mean and z
Ordinate
1.00
0.8413
0.1587
0.3413
0.2420
1.01
0.8437
0.1563
0.3437
0.2396
1.02
0.8461
0.1539
0.3461
0.2371
1.03
0.8485
0.1515
0.3485
0.2347
1.04
0.8508
0.1492
0.3508
0.2323
1.05
0.8531
0.1469
0.3531
0.2299
1.06
0.8554
0.1446
0.3554
0.2275
1.07
0.8577
0.1423
0.3577
0.2251
1.08
0.8599
0.1401
0.3599
0.2227
1.09
0.8621
0.1379
0.3621
0.2203
z
Below z
Above z
Between mean and z
Ordinate
1.10
0.8643
0.1357
0.3643
0.2179
1.11
0.8665
0.1335
0.3665
0.2155
1.12
0.8686
0.1314
0.3686
0.2131
1.13
0.8707
0.1293
0.3707
0.2107
1.14
0.8728
0.1272
0.3728
0.2083
1.15
0.8749
0.1251
0.3749
0.2059
1.16
0.8770
0.1230
0.3770
0.2036
1.17
0.8790
0.1210
0.3790
0.2012
1.18
0.8810
0.1190
0.3810
0.1989
1.19
0.8830
0.1170
0.3830
0.1965
z
Below z
Above z
Between mean and z
Ordinate
1.20
0.8849
0.1151
0.3849
0.1942
1.21
0.8868
0.1132
0.3868
0.1919
1.22
0.8887
0.1113
0.3887
0.1895
1.23
0.8906
0.1094
0.3906
0.1872
1.24
0.8925
0.1075
0.3925
0.1849
1.25
0.8943
0.1057
0.3943
0.1826
1.26
0.8961
0.1039
0.3961
0.1804
1.27
0.8979
0.1021
0.3979
0.1781
1.28
0.8997
0.1003
0.3997
0.1758
1.29
0.9015
0.0985
0.4015
0.1736
z
Below z
Above z
Between mean and z
Ordinate
1.30
0.9032
0.0968
0.4032
0.1714
1.31
0.9049
0.0951
0.4049
0.1691
1.32
0.9066
0.0934
0.4066
0.1669
1.33
0.9082
0.0918
0.4082
0.1647
1.34
0.9099
0.0901
0.4099
0.1626
1.35
0.9115
0.0885
0.4115
0.1604
1.36
0.9131
0.0869
0.4131
0.1582
1.37
0.9146
0.0854
0.4146
0.1561
1.38
0.9162
0.0838
0.4162
0.1539
1.39
0.9177
0.0823
0.4177
0.1518
z
Below z
Above z
Between mean and z
Ordinate
1.40
0.9192
0.0808
0.4192
0.1497
1.41
0.9207
0.0793
0.4207
0.1476
1.42
0.9222
0.0778
0.4222
0.1456
1.43
0.9236
0.0764
0.4236
0.1435
1.44
0.9250
0.0750
0.4250
0.1415
1.45
0.9264
0.0736
0.4264
0.1394
1.46
0.9278
0.0722
0.4278
0.1374
1.47
0.9292
0.0708
0.4292
0.1354
1.48
0.9305
0.0695
0.4305
0.1334
1.49
0.9319
0.0681
0.4319
0.1315
z
Below z
Above z
Between mean and z
Ordinate
1.50
0.9332
0.0668
0.4332
0.1295
1.51
0.9345
0.0655
0.4345
0.1276
1.52
0.9357
0.0643
0.4357
0.1257
1.53
0.9370
0.0630
0.4370
0.1238
1.54
0.9382
0.0618
0.4382
0.1219
1.55
0.9394
0.0606
0.4394
0.1200
1.56
0.9406
0.0594
0.4406
0.1182
1.57
0.9418
0.0582
0.4418
0.1163
1.58
0.9429
0.0571
0.4429
0.1145
1.59
0.9441
0.0559
0.4441
0.1127
z
Below z
Above z
Between mean and z
Ordinate
1.60
0.9452
0.0548
0.4452
0.1109
1.61
0.9463
0.0537
0.4463
0.1092
1.62
0.9474
0.0526
0.4474
0.1074
1.63
0.9484
0.0516
0.4484
0.1057
1.64
0.9495
0.0505
0.4495
0.1040
1.65
0.9505
0.0495
0.4505
0.1023
1.66
0.9515
0.0485
0.4515
0.1006
1.67
0.9525
0.0475
0.4525
0.0989
1.68
0.9535
0.0465
0.4535
0.0973
1.69
0.9545
0.0455
0.4545
0.0957
z
Below z
Above z
Between mean and z
Ordinate
1.70
0.9554
0.0446
0.4554
0.0940
1.71
0.9563
0.0437
0.4563
0.0925
1.72
0.9573
0.0427
0.4573
0.0909
1.73
0.9582
0.0418
0.4582
0.0893
1.74
0.9590
0.0410
0.4590
0.0878
1.75
0.9599
0.0401
0.4599
0.0863
1.76
0.9608
0.0392
0.4608
0.0848
1.77
0.9616
0.0384
0.4616
0.0833
1.78
0.9624
0.0376
0.4624
0.0818
1.79
0.9632
0.0368
0.4632
0.0804
z
Below z
Above z
Between mean and z
Ordinate
1.80
0.9640
0.0360
0.4640
0.0790
1.81
0.9648
0.0352
0.4648
0.0775
1.82
0.9656
0.0344
0.4656
0.0761
1.83
0.9663
0.0337
0.4663
0.0748
1.84
0.9671
0.0329
0.4671
0.0734
1.85
0.9678
0.0322
0.4678
0.0721
1.86
0.9685
0.0315
0.4685
0.0707
1.87
0.9692
0.0308
0.4692
0.0694
1.88
0.9699
0.0301
0.4699
0.0681
1.89
0.9706
0.0294
0.4706
0.0669
z
Below z
Above z
Between mean and z
Ordinate
1.90
0.9713
0.0287
0.4713
0.0656
1.91
0.9719
0.0281
0.4719
0.0644
1.92
0.9725
0.0275
0.4725
0.0632
1.93
0.9732
0.0268
0.4732
0.0620
1.94
0.9738
0.0262
0.4738
0.0608
1.95
0.9744
0.0256
0.4744
0.0596
1.96
0.9750
0.0250
0.4750
0.0584
1.97
0.9755
0.0245
0.4755
0.0573
1.98
0.9761
0.0239
0.4761
0.0562
1.99
0.9767
0.0233
0.4767
0.0551
z
Below z
Above z
Between mean and z
Ordinate
2.00
0.9772
0.0228
0.4772
0.0540
2.01
0.9777
0.0223
0.4777
0.0529
2.02
0.9783
0.0217
0.4783
0.0519
2.03
0.9788
0.0212
0.4788
0.0508
2.04
0.9793
0.0207
0.4793
0.0498
2.05
0.9798
0.0202
0.4798
0.0488
2.06
0.9803
0.0197
0.4803
0.0478
2.07
0.9807
0.0193
0.4807
0.0468
2.08
0.9812
0.0188
0.4812
0.0459
2.09
0.9817
0.0183
0.4817
0.0449
z
Below z
Above z
Between mean and z
Ordinate
2.10
0.9821
0.0179
0.4821
0.0440
2.11
0.9825
0.0175
0.4825
0.0431
2.12
0.9830
0.0170
0.4830
0.0422
2.13
0.9834
0.0166
0.4834
0.0413
2.14
0.9838
0.0162
0.4838
0.0404
2.15
0.9842
0.0158
0.4842
0.0396
2.16
0.9846
0.0154
0.4846
0.0387
2.17
0.9850
0.0150
0.4850
0.0379
2.18
0.9853
0.0147
0.4853
0.0371
2.19
0.9857
0.0143
0.4857
0.0363
z
Below z
Above z
Between mean and z
Ordinate
2.20
0.9861
0.0139
0.4861
0.0355
2.21
0.9864
0.0136
0.4864
0.0347
2.22
0.9868
0.0132
0.4868
0.0339
2.23
0.9871
0.0129
0.4871
0.0332
2.24
0.9874
0.0126
0.4874
0.0325
2.25
0.9877
0.0123
0.4877
0.0317
2.26
0.9881
0.0119
0.4881
0.0310
2.27
0.9884
0.0116
0.4884
0.0303
2.28
0.9887
0.0113
0.4887
0.0297
2.29
0.9890
0.0110
0.4890
0.0290
z
Below z
Above z
Between mean and z
Ordinate
2.30
0.9892
0.0108
0.4892
0.0283
2.31
0.9895
0.0105
0.4895
0.0277
2.32
0.9898
0.0102
0.4898
0.0270
2.33
0.9901
0.0099
0.4901
0.0264
2.34
0.9903
0.0097
0.4903
0.0258
2.35
0.9906
0.0094
0.4906
0.0252
2.36
0.9908
0.0092
0.4908
0.0246
2.37
0.9911
0.0089
0.4911
0.0241
2.38
0.9913
0.0087
0.4913
0.0235
2.39
0.9915
0.0085
0.4915
0.0229
z
Below z
Above z
Between mean and z
Ordinate
2.40
0.9918
0.0082
0.4918
0.0224
2.41
0.9920
0.0080
0.4920
0.0219
2.42
0.9922
0.0078
0.4922
0.0213
2.43
0.9924
0.0076
0.4924
0.0208
2.44
0.9926
0.0074
0.4926
0.0203
2.45
0.9928
0.0072
0.4928
0.0198
2.46
0.9930
0.0070
0.4930
0.0194
2.47
0.9932
0.0068
0.4932
0.0189
2.48
0.9934
0.0066
0.4934
0.0184
2.49
0.9936
0.0064
0.4936
0.0180
z
Below z
Above z
Between mean and z
Ordinate
2.50
0.9938
0.0062
0.4938
0.0175
2.51
0.9939
0.0061
0.4939
0.0171
2.52
0.9941
0.0059
0.4941
0.0167
2.53
0.9943
0.0057
0.4943
0.0163
2.54
0.9944
0.0056
0.4944
0.0158
2.55
0.9946
0.0054
0.4946
0.0154
2.56
0.9947
0.0053
0.4947
0.0151
2.57
0.9949
0.0051
0.4949
0.0147
2.58
0.9950
0.0050
0.4950
0.0143
2.59
0.9952
0.0048
0.4952
0.0139
z
Below z
Above z
Between mean and z
Ordinate
2.60
0.9953
0.0047
0.4953
0.0136
2.61
0.9954
0.0046
0.4954
0.0132
2.62
0.9956
0.0044
0.4956
0.0129
2.63
0.9957
0.0043
0.4957
0.0126
2.64
0.9958
0.0042
0.4958
0.0122
2.65
0.9959
0.0041
0.4959
0.0119
2.66
0.9961
0.0039
0.4961
0.0116
2.67
0.9962
0.0038
0.4962
0.0113
2.68
0.9963
0.0037
0.4963
0.0110
2.69
0.9964
0.0036
0.4964
0.0107
z
Below z
Above z
Between mean and z
Ordinate
2.70
0.9965
0.0035
0.4965
0.0104
2.71
0.9966
0.0034
0.4966
0.0101
2.72
0.9967
0.0033
0.4967
0.0099
2.73
0.9968
0.0032
0.4968
0.0096
2.74
0.9969
0.0031
0.4969
0.0093
2.75
0.9970
0.0030
0.4970
0.0091
2.76
0.9971
0.0029
0.4971
0.0088
2.77
0.9972
0.0028
0.4972
0.0086
2.78
0.9972
0.0028
0.4972
0.0084
2.79
0.9973
0.0027
0.4973
0.0081
z
Below z
Above z
Between mean and z
Ordinate
2.80
0.9974
0.0026
0.4974
0.0079
2.81
0.9975
0.0025
0.4975
0.0077
2.82
0.9976
0.0024
0.4976
0.0075
2.83
0.9976
0.0024
0.4976
0.0073
2.84
0.9977
0.0023
0.4977
0.0071
2.85
0.9978
0.0022
0.4978
0.0069
2.86
0.9978
0.0022
0.4978
0.0067
2.87
0.9979
0.0021
0.4979
0.0065
2.88
0.9980
0.0020
0.4980
0.0063
2.89
0.9980
0.0020
0.4980
0.0061
z
Below z
Above z
Between mean and z
Ordinate
2.90
0.9981
0.0019
0.4981
0.0060
2.91
0.9982
0.0018
0.4982
0.0058
2.92
0.9982
0.0018
0.4982
0.0056
2.93
0.9983
0.0017
0.4983
0.0055
2.94
0.9983
0.0017
0.4983
0.0053
2.95
0.9984
0.0016
0.4984
0.0051
2.96
0.9984
0.0016
0.4984
0.0050
2.97
0.9985
0.0015
0.4985
0.0048
2.98
0.9985
0.0015
0.4985
0.0047
2.99
0.9986
0.0014
0.4986
0.0046