Table 1: Standard normal distribution.

Let $Z$ be a normal random variable with mean zero and variance one. For selected values of $Z$ three values are tabled: (1) the two-sided $p$-value, or $\mbox{P}[\vert Z\vert \geq z]$; (2) the one-sided $p$-value, or $\mbox{P}[Z \geq z]$; and (3) the cumulative distribution function at $Z$, or $\mbox{P}[Z \leq z]$.

$z$	Two-sided	One-sided	Cum-dist.
0.00	1.0000	.5000	.5000
0.05	.9601	.4801	.5199
0.10	.9203	.4602	.5398
0.15	.8808	.4404	.5596
0.20	.8415	.4207	.5793
0.25	.8026	.4013	.5987
0.30	.7642	.3821	.6179
0.35	.7263	.3632	.6368
0.40	.6892	.3446	.6554
0.45	.6527	.3264	.6736
0.50	.6171	.3085	.6915
0.55	.5823	.2912	.7088
0.60	.5485	.2743	.7257
0.65	.5157	.2578	.7422
0.70	.4839	.2420	.7580
0.75	.4533	.2266	.7734
0.80	.4237	.2119	.7881
0.85	.3953	.1977	.8023
0.90	.3681	.1841	.8159
0.95	.3421	.1711	.8289
1.00	.3173	.1587	.8413
1.01	.3125	.1562	.8438
1.02	.3077	.1539	.8461
1.03	.3030	.1515	.8485
1.04	.2983	.1492	.8508
1.05	.2937	.1469	.8531
1.06	.2891	.1446	.8554
1.07	.2846	.1423	.8577
1.08	.2801	.1401	.8599
1.09	.2757	.1379	.8621
1.10	.2713	.1357	.8643
1.11	.2670	.1335	.8665
1.12	.2627	.1314	.8686
1.13	.2585	.1292	.8708
1.14	.2543	.1271	.8729
1.15	.2501	.1251	.8749
1.16	.2460	.1230	.8770
1.17	.2420	.1210	.8790
1.18	.2380	.1190	.8810
1.19	.2340	.1170	.8830
1.20	.2301	.1151	.8849
1.21	.2263	.1131	.8869
1.22	.2225	.1112	.8888
1.23	.2187	.1093	.8907
1.24	.2150	.1075	.8925
1.25	.2113	.1056	.8944
1.26	.2077	.1038	.8962
1.27	.2041	.1020	.8980
1.28	.2005	.1003	.8997
1.29	.1971	.0985	.9015
1.30	.1936	.0968	.9032
1.31	.1902	.0951	.9049
1.32	.1868	.0934	.9066
1.33	.1835	.0918	.9082
1.34	.1802	.0901	.9099
1.35	.1770	.0885	.9115
1.36	.1738	.0869	.9131
1.37	.1707	.0853	.9147
1.38	.1676	.0838	.9162
1.39	.1645	.0823	.9177
1.40	.1615	.0808	.9192
1.41	.1585	.0793	.9207
1.42	.1556	.0778	.9222
1.43	.1527	.0764	.9236
1.44	.1499	.0749	.9251
1.45	.1471	.0735	.9265
1.46	.1443	.0721	.9279
1.47	.1416	.0708	.9292
1.48	.1389	.0694	.9306
1.49	.1362	.0681	.9319
1.50	.1336	.0668	.9332
1.51	.1310	.0655	.9345
1.52	.1285	.0643	.9357
1.53	.1260	.0630	.9370
1.54	.1236	.0618	.9382
1.55	.1211	.0606	.9394
1.56	.1188	.0594	.9406
1.57	.1164	.0582	.9418
1.58	.1141	.0571	.9429
1.59	.1118	.0559	.9441
1.60	.1096	.0548	.9452
1.61	.1074	.0537	.9463
1.62	.1052	.0526	.9474
1.63	.1031	.0516	.9484
1.64	.1010	.0505	.9495
1.65	.0989	.0495	.9505
1.66	.0969	.0485	.9515
1.67	.0949	.0475	.9525
1.68	.0930	.0465	.9535
1.69	.0910	.0455	.9545
1.70	.0891	.0446	.9554
1.71	.0873	.0436	.9564
1.72	.0854	.0427	.9573
1.73	.0836	.0418	.9582
1.74	.0819	.0409	.9591
1.75	.0801	.0401	.9599
1.76	.0784	.0392	.9608
1.77	.0767	.0384	.9616
1.78	.0751	.0375	.9625
1.79	.0735	.0367	.9633
1.80	.0719	.0359	.9641
1.81	.0703	.0351	.9649
1.82	.0688	.0344	.9656
1.83	.0673	.0336	.9664
1.84	.0658	.0329	.9671
1.85	.0643	.0322	.9678
1.86	.0629	.0314	.9686
1.87	.0615	.0307	.9693
1.88	.0601	.0301	.9699
1.89	.0588	.0294	.9706
1.90	.0574	.0287	.9713
1.91	.0561	.0281	.9719
1.92	.0549	.0274	.9726
1.93	.0536	.0268	.9732
1.94	.0524	.0262	.9738
1.95	.0512	.0256	.9744
1.96	.0500	.0250	.9750
1.97	.0488	.0244	.9756
1.98	.0477	.0239	.9761
1.99	.0466	.0233	.9767
2.00	.0455	.0228	.9772
2.01	.0444	.0222	.9778
2.02	.0434	.0217	.9783
2.03	.0424	.0212	.9788
2.04	.0414	.0207	.9793
2.05	.0404	.0202	.9798
2.06	.0394	.0197	.9803
2.07	.0385	.0192	.9808
2.08	.0375	.0188	.9812
2.09	.0366	.0183	.9817
2.10	.0357	.0179	.9821
2.11	.0349	.0174	.9826
2.12	.0340	.0170	.9830
2.13	.0332	.0166	.9834
2.14	.0324	.0162	.9838
2.15	.0316	.0158	.9842
2.16	.0308	.0154	.9846
2.17	.0300	.0150	.9850
2.18	.0293	.0146	.9854
2.19	.0285	.0143	.9857
2.20	.0278	.0139	.9861
2.21	.0271	.0136	.9864
2.22	.0264	.0132	.9868
2.23	.0257	.0129	.9871
2.24	.0251	.0125	.9875
2.25	.0244	.0122	.9878
2.26	.0238	.0119	.9881
2.27	.0232	.0116	.9884
2.28	.0226	.0113	.9887
2.29	.0220	.0110	.9890
2.30	.0214	.0107	.9893
2.31	.0209	.0104	.9896
2.32	.0203	.0102	.9898
2.33	.0198	.0099	.9901
2.34	.0193	.0096	.9904
2.35	.0188	.0094	.9906
2.36	.0183	.0091	.9909
2.37	.0178	.0089	.9911
2.38	.0173	.0087	.9913
2.39	.0168	.0084	.9916
2.40	.0164	.0082	.9918
2.41	.0160	.0080	.9920
2.42	.0155	.0078	.9922
2.43	.0151	.0075	.9925
2.44	.0147	.0073	.9927
2.45	.0143	.0071	.9929
2.46	.0139	.0069	.9931
2.47	.0135	.0068	.9932
2.48	.0131	.0066	.9934
2.49	.0128	.0064	.9936
2.50	.0124	.0062	.9938
2.51	.0121	.0060	.9940
2.52	.0117	.0059	.9941
2.53	.0114	.0057	.9943
2.54	.0111	.0055	.9945
2.55	.0108	.0054	.9946
2.56	.0105	.0052	.9948
2.57	.0102	.0051	.9949
2.58	.0099	.0049	.9951
2.59	.0096	.0048	.9952
2.60	.0093	.0047	.9953
2.61	.0091	.0045	.9955
2.62	.0088	.0044	.9956
2.63	.0085	.0043	.9957
2.64	.0083	.0041	.9959
2.65	.0080	.0040	.9960
2.66	.0078	.0039	.9961
2.67	.0076	.0038	.9962
2.68	.0074	.0037	.9963
2.69	.0071	.0036	.9964
2.70	.0069	.0035	.9965
2.71	.0067	.0034	.9966
2.72	.0065	.0033	.9967
2.73	.0063	.0032	.9968
2.74	.0061	.0031	.9969
2.75	.0060	.0030	.9970
2.76	.0058	.0029	.9971
2.77	.0056	.0028	.9972
2.78	.0054	.0027	.9973
2.79	.0053	.0026	.9974
2.80	.0051	.0026	.9974
2.81	.0050	.0025	.9975
2.82	.0048	.0024	.9976
2.83	.0047	.0023	.9977
2.84	.0045	.0023	.9977
2.85	.0044	.0022	.9978
2.86	.0042	.0021	.9979
2.87	.0041	.0021	.9979
2.88	.0040	.0020	.9980
2.89	.0039	.0019	.9981
2.90	.0037	.0019	.9981
2.91	.0036	.0018	.9982
2.92	.0035	.0018	.9982
2.93	.0034	.0017	.9983
2.94	.0033	.0016	.9984
2.95	.0032	.0016	.9984
2.96	.0031	.0015	.9985
2.97	.0030	.0015	.9985
2.98	.0029	.0014	.9986
2.99	.0028	.0014	.9986
3.00	.0027	.0013	.9987
3.01	.0026	.0013	.9987
3.02	.0025	.0013	.9987
3.03	.0024	.0012	.9988
3.04	.0024	.0012	.9988
3.05	.0023	.0011	.9989
3.06	.0022	.0011	.9989
3.07	.0021	.0011	.9989
3.08	.0021	.0010	.9990
3.09	.0020	.0010	.9990
3.10	.0019	.0010	.9990
3.11	.0019	.0009	.9991
3.12	.0018	.0009	.9991
3.13	.0017	.0009	.9991
3.14	.0017	.0008	.9992
3.15	.0016	.0008	.9992
3.16	.0016	.0008	.9992
3.17	.0015	.0008	.9992
3.18	.0015	.0007	.9993
3.19	.0014	.0007	.9993
3.20	.0014	.0007	.9993
3.21	.0013	.0007	.9993
3.22	.0013	.0006	.9994
3.23	.0012	.0006	.9994
3.24	.0012	.0006	.9994
3.25	.0012	.0006	.9994
3.26	.0011	.0006	.9994
3.27	.0011	.0005	.9995
3.28	.0010	.0005	.9995
3.29	.0010	.0005	.9995
3.30	.0010	.0005	.9995
3.31	.0009	.0005	.9995
3.32	.0009	.0005	.9995
3.33	.0009	.0004	.9996
3.34	.0008	.0004	.9996
3.35	.0008	.0004	.9996
3.36	.0008	.0004	.9996
3.37	.0008	.0004	.9996
3.38	.0007	.0004	.9996
3.39	.0007	.0003	.9997
3.40	.0007	.0003	.9997
3.41	.0006	.0003	.9997
3.42	.0006	.0003	.9997
3.43	.0006	.0003	.9997
3.44	.0006	.0003	.9997
3.45	.0006	.0003	.9997
3.46	.0005	.0003	.9997
3.47	.0005	.0003	.9997
3.48	.0005	.0003	.9997
3.49	.0005	.0002	.9998
3.50	.0005	.0002	.9998
3.51	.0004	.0002	.9998
3.52	.0004	.0002	.9998
3.53	.0004	.0002	.9998
3.54	.0004	.0002	.9998
3.55	.0004	.0002	.9998
3.56	.0004	.0002	.9998
3.57	.0004	.0002	.9998
3.58	.0003	.0002	.9998
3.59	.0003	.0002	.9998
3.60	.0003	.0002	.9998
3.61	.0003	.0002	.9998
3.62	.0003	.0001	.9999
3.63	.0003	.0001	.9999
3.64	.0003	.0001	.9999
3.65	.0003	.0001	.9999
3.66	.0003	.0001	.9999
3.67	.0002	.0001	.9999
3.68	.0002	.0001	.9999
3.69	.0002	.0001	.9999
3.70	.0002	.0001	.9999
3.71	.0002	.0001	.9999
3.72	.0002	.0001	.9999
3.73	.0002	.0001	.9999
3.74	.0002	.0001	.9999
3.75	.0002	.0001	.9999
3.76	.0002	.0001	.9999
3.77	.0002	.0001	.9999
3.78	.0002	.0001	.9999
3.79	.0002	.0001	.9999

Table 2: Critical values (percentiles) for the standard normal distribution.

The fourth column is the N(0, 1) percentile for the percent given in column one. It is also the upper one-sided N(0, 1) critical value and two-sided N(0, 1) critical value for the significance levels given in columns two and three, respectively.

Percent	1-sided	2-sided	$z$
50	.50	1.00	0.00
55	.45	.90	0.13
60	.40	.80	0.25
65	.35	.70	0.39
70	.30	.60	0.52
75	.25	.50	0.67
80	.20	.40	0.84
85	.15	.30	1.04
90	.10	.20	1.28
91	.09	.18	1.34
92	.08	.16	1.41
93	.07	.14	1.48
94	.06	.12	1.55
95	.05	.10	1.64
95.5	.045	.090	1.70
96.0	.040	.080	1.75
96.5	.035	.070	1.81
97.0	.030	.060	1.88
97.5	.025	.050	1.96
98.0	.020	.040	2.05
98.5	.015	.030	2.17
99.0	.010	.020	2.33
99.05	.0095	.0190	2.35
99.10	.0090	.0180	2.37
99.15	.0085	.0170	2.39
99.20	.0080	.0160	2.41
99.25	.0075	.0150	2.43
99.30	.0070	.0140	2.46
99.35	.0065	.0130	2.48
99.40	.0060	.0120	2.51
99.45	.0055	.0110	2.54
99.50	.0050	.0100	2.58
99.51	.0049	.0098	2.58
99.52	.0048	.0096	2.59
99.53	.0047	.0094	2.60
99.54	.0046	.0092	2.60
99.55	.0045	.0090	2.61
99.56	.0044	.0088	2.62
99.57	.0043	.0086	2.63
99.58	.0042	.0084	2.64
99.59	.0041	.0082	2.64
99.60	.0040	.0080	2.65
99.61	.0039	.0078	2.66
99.62	.0038	.0076	2.67
99.63	.0037	.0074	2.68
99.64	.0036	.0072	2.69
99.65	.0035	.0070	2.70
99.66	.0034	.0068	2.71
99.67	.0033	.0066	2.72
99.68	.0032	.0064	2.73
99.69	.0031	.0062	2.74
99.70	.0030	.0060	2.75
99.71	.0029	.0058	2.76
99.72	.0028	.0056	2.77
99.73	.0027	.0054	2.78
99.74	.0026	.0052	2.79
99.75	.0025	.0050	2.81
99.76	.0024	.0048	2.82
99.77	.0023	.0046	2.83
99.78	.0022	.0044	2.85
99.79	.0021	.0042	2.86
99.80	.0020	.0040	2.88
99.81	.0019	.0038	2.89
99.82	.0018	.0036	2.91
99.83	.0017	.0034	2.93
99.84	.0016	.0032	2.95
99.85	.0015	.0030	2.97
99.86	.0014	.0028	2.99
99.87	.0013	.0026	3.01
99.88	.0012	.0024	3.04
99.89	.0011	.0022	3.06
99.90	.0010	.0020	3.09
99.91	.0009	.0018	3.12
99.92	.0008	.0016	3.16
99.93	.0007	.0014	3.19
99.94	.0006	.0012	3.24
99.95	.0005	.0010	3.29
99.96	.0004	.0008	3.35
99.97	.0003	.0006	3.43
99.98	.0002	.0004	3.54
99.99	.0001	.0002	3.72