Minimum Sample Size
Population Size21
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance20
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)20.9959606715633
Minimum Sample Size (1 sided test)20.9951499693302


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance20
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)103957.680096956
Minimum Sample Size (1 sided test)86577.3905310532


Minimum Sample Size (Unknown Population Variance)
Population Size21
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.81072560597802
t(alpha) + t(beta)3.44947707600009
Minimum Sample Size (2 sided test)20.9963853255729
Minimum Sample Size (1 sided test)20.9955887513353


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60485508942163
t(alpha) + t(beta)3.2897424548519
Minimum Sample Size (2 sided test)103959.841725832
Minimum Sample Size (1 sided test)86579.2433540398