Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13.0309278350515
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)15440.9012217301
Minimum Sample Size (1 sided test)14765.2206026075


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13.0309278350515
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)67733.25136214
Minimum Sample Size (1 sided test)56409.1864078612


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60506996512546
t(alpha) + t(beta)3.28991368069448
Minimum Sample Size (2 sided test)15441.3939938984
Minimum Sample Size (1 sided test)14765.7055789155


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)3.60487513361636
t(alpha) + t(beta)3.28976128132067
Minimum Sample Size (2 sided test)67735.4130202573
Minimum Sample Size (1 sided test)56411.0392582631