Minimum Sample Size
Population Size162
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)161.61493200475
Minimum Sample Size (1 sided test)161.537850670172


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)67572.4920630212
Minimum Sample Size (1 sided test)56275.3038451846


Minimum Sample Size (Unknown Population Variance)
Population Size162
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62923995728912
t(alpha) + t(beta)3.30880124224785
Minimum Sample Size (2 sided test)161.62008495215
Minimum Sample Size (1 sided test)161.543154101434


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.60487527046942
t(alpha) + t(beta)3.28976140985978
Minimum Sample Size (2 sided test)67574.6537213382
Minimum Sample Size (1 sided test)56277.1566957736