Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.85
Population Variance13.0309278350515
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)14012.0727304725
Minimum Sample Size (1 sided test)13040.4734264494


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.85
Population Variance13.0309278350515
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)46798.7385155453
Minimum Sample Size (1 sided test)37473.3001303142


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.99660506217963
t(alpha) + t(beta)2.68144510109461
Minimum Sample Size (2 sided test)14012.654249692
Minimum Sample Size (1 sided test)13041.0084819869


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.99645955179389
t(alpha) + t(beta)2.68134202389192
Minimum Sample Size (2 sided test)46800.6807618908
Minimum Sample Size (1 sided test)37474.8376991679