Minimum Sample Size
Population Size105
Margin of Error0.048
Confidence0.95
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)89.4936569988593
Minimum Sample Size (1 sided test)84.2687552601486


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.048
Confidence0.95
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)600.227940733457
Minimum Sample Size (1 sided test)422.741164702408


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error0.048
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.98713536511011
t(alpha) + t(beta)1.66335957582792
Minimum Sample Size (2 sided test)89.8540635426133
Minimum Sample Size (1 sided test)84.6385295848035


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.048
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96393073645417
t(alpha) + t(beta)1.64847466820425
Minimum Sample Size (2 sided test)602.659990248345
Minimum Sample Size (1 sided test)424.604489329861