Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)9994.14274547631
Minimum Sample Size (1 sided test)8259.30364754093


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)19975.5858676094
Minimum Sample Size (1 sided test)14068.8259612961


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96020140271368
t(alpha) + t(beta)1.64503816135463
Minimum Sample Size (2 sided test)9995.35401125056
Minimum Sample Size (1 sided test)8260.39150375133


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)1.96008275609091
t(alpha) + t(beta)1.64496195002219
Minimum Sample Size (2 sided test)19978.0069357697
Minimum Sample Size (1 sided test)14070.6790485083