Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance13.78
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)15634.6376407241
Minimum Sample Size (1 sided test)14978.3318040475


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance13.78
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)71626.8415868025
Minimum Sample Size (1 sided test)59651.8220758956


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.60506683767066
t(alpha) + t(beta)3.28991074328215
Minimum Sample Size (2 sided test)15635.109471812
Minimum Sample Size (1 sided test)14978.7970355874


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)3.6048720066585
t(alpha) + t(beta)3.28975834432897
Minimum Sample Size (2 sided test)71629.0032403581
Minimum Sample Size (1 sided test)59653.6749220206