Minimum Sample Size
Population Size21
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)20.9937862921283
Minimum Sample Size (1 sided test)20.9925393421598


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)67572.4920630212
Minimum Sample Size (1 sided test)56275.3038451846


Minimum Sample Size (Unknown Population Variance)
Population Size21
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.81074925369867
t(alpha) + t(beta)3.44949893301138
Minimum Sample Size (2 sided test)20.9944395467846
Minimum Sample Size (1 sided test)20.9932143170889


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)3.60487527046942
t(alpha) + t(beta)3.28976140985978
Minimum Sample Size (2 sided test)67574.6537213382
Minimum Sample Size (1 sided test)56277.1566957736