Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.85
Population Variance13.5621063240111
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)14178.3316625532
Minimum Sample Size (1 sided test)13220.6573693444


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.85
Population Variance13.5621063240111
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)48706.391103647
Minimum Sample Size (1 sided test)39000.8207483018


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.99660262641757
t(alpha) + t(beta)2.68144294626621
Minimum Sample Size (2 sided test)14178.8970342828
Minimum Sample Size (1 sided test)13221.1785709522


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)2.99645711641335
t(alpha) + t(beta)2.68133986934903
Minimum Sample Size (2 sided test)48708.3333458443
Minimum Sample Size (1 sided test)39002.3583136049