Minimum Sample Size
Population Size50
Margin of Error1
Confidence0.95
Power0.95
Population Variance5
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)28.503784442115
Minimum Sample Size (1 sided test)26.2391683649394


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance5
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)64.9735500605973
Minimum Sample Size (1 sided test)54.1108690819082


Minimum Sample Size (Unknown Population Variance)
Population Size50
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.75225464253646
t(alpha) + t(beta)3.4150370229367
Minimum Sample Size (2 sided test)29.4802342518868
Minimum Sample Size (1 sided test)27.1694581113614


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.66676872209112
t(alpha) + t(beta)3.34810813976317
Minimum Sample Size (2 sided test)67.2259643065289
Minimum Sample Size (1 sided test)56.0491405777418