Minimum Sample Size
Population Size105
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.87
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)102.639510487814
Minimum Sample Size (1 sided test)102.178379505223


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.87
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)4522.15908421757
Minimum Sample Size (1 sided test)3766.11648810081


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.6435636414184
t(alpha) + t(beta)3.32010707300928
Minimum Sample Size (2 sided test)102.688347542034
Minimum Sample Size (1 sided test)102.228456376257


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)3.60567955394668
t(alpha) + t(beta)3.29051686838474
Minimum Sample Size (2 sided test)4524.32191592069
Minimum Sample Size (1 sided test)3767.97043887132