Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)653.672465509751
Minimum Sample Size (1 sided test)547.378462721014


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)675.724920630212
Minimum Sample Size (1 sided test)562.753038451846


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.61079694937599
t(alpha) + t(beta)3.29529448637946
Minimum Sample Size (2 sided test)655.771605666018
Minimum Sample Size (1 sided test)549.188275170055


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.6106012072724
t(alpha) + t(beta)3.29514131593062
Minimum Sample Size (2 sided test)677.89493605376
Minimum Sample Size (1 sided test)564.613727181554