Minimum Sample Size
Population Size1000
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13.0309278350515
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)952.478602565682
Minimum Sample Size (1 sided test)933.846740029595


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13.0309278350515
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)20023.1090695149
Minimum Sample Size (1 sided test)14102.2966019653


Minimum Sample Size (Unknown Population Variance)
Population Size1000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96246035228081
t(alpha) + t(beta)1.64648872160535
Minimum Sample Size (2 sided test)952.59369804372
Minimum Sample Size (1 sided test)933.969394203414


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96008247416557
t(alpha) + t(beta)1.64496169289107
Minimum Sample Size (2 sided test)20025.530136871
Minimum Sample Size (1 sided test)14104.1496884285