Minimum Sample Size
Population Size20000
Margin of Error0.2
Confidence0.95
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)12.4775760806718
Minimum Sample Size (1 sided test)8.78959135440793


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.2
Confidence0.95
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)12.4847411672559
Minimum Sample Size (1 sided test)8.79301622581009


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.2
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.18986300960967
t(alpha) + t(beta)1.86608066964832
Minimum Sample Size (2 sided test)15.5740173586105
Minimum Sample Size (1 sided test)11.3115002361877


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.2
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.18970393337946
t(alpha) + t(beta)1.86597116712752
Minimum Sample Size (2 sided test)15.5831107765369
Minimum Sample Size (1 sided test)11.3160072887915