Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.15
Population Variance13
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)14002.0992706724
Minimum Sample Size (1 sided test)13029.6866955846


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.15
Population Variance13
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)46687.6655602079
Minimum Sample Size (1 sided test)37384.3603357012


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.15
Population Varianceunknown
t(alpha/2) + t(beta)2.99660521013424
t(alpha) + t(beta)2.68144523198459
Minimum Sample Size (2 sided test)14002.6817585427
Minimum Sample Size (1 sided test)13030.2225804923


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.15
Population Varianceunknown
t(alpha/2) + t(beta)2.99645969972532
t(alpha) + t(beta)2.68134215476456
Minimum Sample Size (2 sided test)46689.6078068054
Minimum Sample Size (1 sided test)37385.8979047706