Minimum Sample Size
Population Size20000
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)15432.5318596587
Minimum Sample Size (1 sided test)14756.032112573


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 Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60507010200027
t(alpha) + t(beta)3.289913809252
Minimum Sample Size (2 sided test)15433.0255364788
Minimum Sample Size (1 sided test)14756.517940198


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