Minimum Sample Size
Population Size95
Margin of Error1
Confidence0.95
Power0.95
Population Variance9
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)52.6681733950364
Minimum Sample Size (1 sided test)48.343676457957


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance9
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)116.952390109075
Minimum Sample Size (1 sided test)97.3995643474348


Minimum Sample Size (Unknown Population Variance)
Population Size95
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.68183785315378
t(alpha) + t(beta)3.35536373378039
Minimum Sample Size (2 sided test)53.6580523785854
Minimum Sample Size (1 sided test)49.2816050157281


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.63873579911133
t(alpha) + t(beta)3.32162872341102
Minimum Sample Size (2 sided test)119.163583941609
Minimum Sample Size (1 sided test)99.2989563857023