Minimum Sample Size
Population Size20000
Margin of Error0.05
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)197.790260027617
Minimum Sample Size (1 sided test)139.712450162488


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
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)199.755858676094
Minimum Sample Size (1 sided test)140.688259612961


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.97209202436772
t(alpha) + t(beta)1.65591290004042
Minimum Sample Size (2 sided test)200.221060852427
Minimum Sample Size (1 sided test)141.584151666959


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)1.97197136374429
t(alpha) + t(beta)1.65583512700514
Minimum Sample Size (2 sided test)202.210895090231
Minimum Sample Size (1 sided test)142.573078326854