Minimum Sample Size
Population Size105
Margin of Error0.05
Confidence0.99
Power0.5
Population Variance13
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)104.684442880799
Minimum Sample Size (1 sided test)104.613394548319


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.99
Power0.5
Population Variance13
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)34501.4623253103
Minimum Sample Size (1 sided test)28141.8510414826


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error0.05
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.62408047967089
t(alpha) + t(beta)2.36287701128728
Minimum Sample Size (2 sided test)104.695907715607
Minimum Sample Size (1 sided test)104.625213345327


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.57597181768796
t(alpha) + t(beta)2.3264803958861
Minimum Sample Size (2 sided test)34505.2801887176
Minimum Sample Size (1 sided test)28145.0573687002