Minimum Sample Size
Population Size105
Margin of Error0.05
Confidence0.9
Power0.05
Population Variance0.13
z(alpha/2) + z(beta)3.28970725390294
z(alpha) + z(beta)2.92640519249607
Minimum Sample Size (2 sided test)88.622121879856
Minimum Sample Size (1 sided test)85.1208789724966


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.9
Power0.05
Population Variance0.13
z(alpha/2) + z(beta)3.28970725390294
z(alpha) + z(beta)2.92640519249607
Minimum Sample Size (2 sided test)562.753038451846
Minimum Sample Size (1 sided test)445.320062234735


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error0.05
Confidence0.9
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.32486061624796
t(alpha) + t(beta)2.9548666119505
Minimum Sample Size (2 sided test)88.9138371404494
Minimum Sample Size (1 sided test)85.4309600114218


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.9
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.29514131593062
t(alpha) + t(beta)2.93175008151993
Minimum Sample Size (2 sided test)564.613727181554
Minimum Sample Size (1 sided test)446.94824410559