Minimum Sample Size
Population Size20000
Margin of Error0.05
Confidence0.65
Power0.5
Population Variance13.0309278350515
z(alpha/2) + z(beta)0.93458929107348
z(alpha) + z(beta)0.385320466407568
Minimum Sample Size (2 sided test)3708.71869974446
Minimum Sample Size (1 sided test)745.096546685291


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.65
Power0.5
Population Variance13.0309278350515
z(alpha/2) + z(beta)0.93458929107348
z(alpha) + z(beta)0.385320466407568
Minimum Sample Size (2 sided test)4552.78279892117
Minimum Sample Size (1 sided test)773.890446830255


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.05
Confidence0.65
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)0.934707364442042
t(alpha) + t(beta)0.385469186352546
Minimum Sample Size (2 sided test)3709.48203860658
Minimum Sample Size (1 sided test)745.65037141728


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.65
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)0.934685467172465
t(alpha) + t(beta)0.385463644392399
Minimum Sample Size (2 sided test)4553.71987667986
Minimum Sample Size (1 sided test)774.465680541908