Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13.5621063240111
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)15580.0020936213
Minimum Sample Size (1 sided test)14918.1520334912


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13.5621063240111
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)70494.2555336223
Minimum Sample Size (1 sided test)58708.5887818787


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60506771176776
t(alpha) + t(beta)3.28991156426388
Minimum Sample Size (2 sided test)15580.4798302853
Minimum Sample Size (1 sided test)14918.6228406788


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60487288061671
t(alpha) + t(beta)3.28975916519314
Minimum Sample Size (2 sided test)70496.4171884529
Minimum Sample Size (1 sided test)58710.4416291991