Minimum Sample Size
Population Size105
Margin of Error1
Confidence0.95
Power0.85
Population Variance13.0309278350515
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)55.5875301689756
Minimum Sample Size (1 sided test)49.7601150729582


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.85
Population Variance13.0309278350515
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)116.996846288863
Minimum Sample Size (1 sided test)93.6832503257855


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error1
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.050758608976
t(alpha) + t(beta)2.72428391410875
Minimum Sample Size (2 sided test)56.527099339
Minimum Sample Size (1 sided test)50.5936688027804


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.02171407463669
t(alpha) + t(beta)2.70372560115855
Minimum Sample Size (2 sided test)118.982221849029
Minimum Sample Size (1 sided test)95.2578042032906