Table Showing the Probability of z
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Commonly used z values
Probabilityz value
0.200.85* this is often used in in power calculations power=0.8, β=0.2
0.101.29
0.051.65* this is often used for testing statistical significane p<0.05
0.0251.96* this is often used to define the 95% confidence interval (2.5% each side)
0.012.33
0.0052.58
0.00252.81
0.0013.10

Table of z and probability

The z value is the sum of the first row and first column, and probability is the cell of that row and column. for example, probability=0.40905 when z=0.23

0.000.010.020.030.040.050.060.070.080.09
0.00.500000.496010.492020.488030.484050.480060.476080.472100.468120.46414
0.10.460170.456200.452240.448280.444330.440380.436440.432510.428580.42465
0.20.420740.416830.412940.409050.405170.401290.397430.393580.389740.38591
0.30.382090.378280.374480.370700.366930.363170.359420.355690.351970.34827
0.40.344580.340900.337240.333600.329970.326360.322760.319180.315610.31207
0.50.308540.305030.301530.298060.294600.291160.287740.284340.280960.27760
0.60.274250.270930.267630.264350.261090.257850.254630.251430.248250.24510
0.70.241960.238850.235760.232700.229650.226630.223630.220650.217700.21476
0.80.211860.208970.206110.203270.200450.197660.194890.192150.189430.18673
0.90.184060.181410.178790.176190.173610.171060.168530.166020.163540.16109
0.000.010.020.030.040.050.060.070.080.09
1.00.158660.156250.153860.151510.149170.146860.144570.142310.140070.13786
1.10.135670.133500.131360.129240.127140.125070.123020.121000.119000.11702
1.20.115070.113140.111230.109350.107490.105650.103830.102040.100270.09853
1.30.096800.095100.093420.091760.090120.088510.086910.085340.083790.08226
1.40.080760.079270.077800.076360.074930.073530.072140.070780.069440.06811
1.50.066810.065520.064260.063010.061780.060570.059380.058210.057050.05592
1.60.054800.053700.052620.051550.050500.049470.048460.047460.046480.04551
1.70.044570.043630.042720.041820.040930.040060.039200.038360.037540.03673
1.80.035930.035150.034380.033630.032880.032160.031440.030740.030050.02938
1.90.028720.028070.027430.026800.026190.025590.025000.024420.023850.02330
0.000.010.020.030.040.050.060.070.080.09
2.00.022750.022220.021690.021180.020680.020180.019700.019230.018760.01831
2.10.017860.017430.017000.016590.016180.015780.015390.015000.014630.01426
2.20.013900.013550.013210.012870.012550.012220.011910.011600.011300.01101
2.30.010720.010440.010170.009900.009640.009390.009140.008890.008660.00842
2.40.008200.007980.007760.007550.007340.007140.006950.006760.006570.00639
2.50.006210.006040.005870.005700.005540.005390.005230.005080.004940.00480
2.60.004660.004530.004400.004270.004150.004020.003910.003790.003680.00357
2.70.003470.003360.003260.003170.003070.002980.002890.002800.002720.00264
2.80.002550.002480.002400.002330.002260.002190.002120.002050.001990.00193
2.90.001870.001810.001750.001690.001640.001590.001540.001490.001440.00139
0.000.010.020.030.040.050.060.070.080.09
3.00.001350.001310.001260.001220.001180.001140.001110.001070.001030.00100
3.10.000970.000940.000900.000870.000840.000820.000790.000760.000740.00071
3.20.000690.000660.000640.000620.000600.000580.000560.000540.000520.00050
3.30.000480.000470.000450.000430.000420.000400.000390.000380.000360.00035
3.40.000340.000320.000310.000300.000290.000280.000270.000260.000250.00024
3.50.000230.000220.000220.000210.000200.000190.000190.000180.000170.00017
3.60.000160.000150.000150.000140.000140.000130.000130.000120.000120.00011
3.70.000110.000100.000100.000100.000090.000090.000090.000080.000080.00008
3.80.000070.000070.000070.000060.000060.000060.000060.000050.000050.00005
3.90.000050.000050.000040.000040.000040.000040.000040.000040.000030.00003