Minimum Sample Size
Population Size120
Margin of Error1
Confidence0.9
Power0.9
Population Variance9
z(alpha/2) + z(beta)2.92640519249607
z(alpha) + z(beta)2.5631031310892
Minimum Sample Size (2 sided test)47.1705866283904
Minimum Sample Size (1 sided test)39.8317945049416


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.9
Power0.9
Population Variance9
z(alpha/2) + z(beta)2.92640519249607
z(alpha) + z(beta)2.5631031310892
Minimum Sample Size (2 sided test)77.0746261560118
Minimum Sample Size (1 sided test)59.1254789453934


Minimum Sample Size (Unknown Population Variance)
Population Size120
Margin of Error1
Confidence0.9
Power0.9
Population Varianceunknown
t(alpha/2) + t(beta)2.97869099243562
t(alpha) + t(beta)2.6074718658676
Minimum Sample Size (2 sided test)48.1883036365791
Minimum Sample Size (1 sided test)40.7504008164653


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.9
Power0.9
Population Varianceunknown
t(alpha/2) + t(beta)2.95791034179414
t(alpha) + t(beta)2.59257328000063
Minimum Sample Size (2 sided test)78.7431023108343
Minimum Sample Size (1 sided test)60.492925909559