Minimum Sample Size
Population Size300
Margin of Error0.5
Confidence0.95
Power0.05
Population Variance1.5
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)62.0489322292095
Minimum Sample Size (1 sided test)53.5260901685454


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.5
Confidence0.95
Power0.05
Population Variance1.5
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)77.9682600727168
Minimum Sample Size (1 sided test)64.9330428982899


Minimum Sample Size (Unknown Population Variance)
Population Size300
Margin of Error0.5
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.6697900107691
t(alpha) + t(beta)3.3487699597527
Minimum Sample Size (2 sided test)63.8256468560834
Minimum Sample Size (1 sided test)55.1091021921629


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.5
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.65616039805162
t(alpha) + t(beta)3.33807739726088
Minimum Sample Size (2 sided test)80.2050531376857
Minimum Sample Size (1 sided test)66.856564260624