Minimum Sample Size
Population Size20000
Margin of Error0.15
Confidence0.85
Power0.85
Population Variance0.13
z(alpha/2) + z(beta)2.47596486043225
z(alpha) + z(beta)2.07286677898758
Minimum Sample Size (2 sided test)35.3592469457427
Minimum Sample Size (1 sided test)24.7962812498726


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.15
Confidence0.85
Power0.85
Population Variance0.13
z(alpha/2) + z(beta)2.47596486043225
z(alpha) + z(beta)2.07286677898758
Minimum Sample Size (2 sided test)35.4201003872171
Minimum Sample Size (1 sided test)24.8258208375975


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.15
Confidence0.85
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.52476904777288
t(alpha) + t(beta)2.11903828235644
Minimum Sample Size (2 sided test)36.7643423816685
Minimum Sample Size (1 sided test)25.9117725640572


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.15
Confidence0.85
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.52468100382657
t(alpha) + t(beta)2.11897978401967
Minimum Sample Size (2 sided test)36.8276374329225
Minimum Sample Size (1 sided test)25.942657433819