Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.8
Power0.15
Population Variance0.13
z(alpha/2) + z(beta)2.31798495503839
z(alpha) + z(beta)1.8780546230667
Minimum Sample Size (2 sided test)275.563000370784
Minimum Sample Size (1 sided test)181.750989187765


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.8
Power0.15
Population Variance0.13
z(alpha/2) + z(beta)2.31798495503839
z(alpha) + z(beta)1.8780546230667
Minimum Sample Size (2 sided test)279.398821092785
Minimum Sample Size (1 sided test)183.408636695555


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.8
Power0.15
Population Varianceunknown
t(alpha/2) + t(beta)2.32303709306346
t(alpha) + t(beta)1.88302971114983
Minimum Sample Size (2 sided test)276.748870218166
Minimum Sample Size (1 sided test)182.706396449993


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.8
Power0.15
Population Varianceunknown
t(alpha/2) + t(beta)2.32296733009161
t(alpha) + t(beta)1.88298438156779
Minimum Sample Size (2 sided test)280.601215266993
Minimum Sample Size (1 sided test)184.372769423869