Minimum Sample Size
Population Size105
Margin of Error1
Confidence0.95
Power0.95
Population Variance13.0309278350515
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)65.048750534894
Minimum Sample Size (1 sided test)60.4327491116726


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance13.0309278350515
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)169.33312840535
Minimum Sample Size (1 sided test)141.022966019653


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.66669473662931
t(alpha) + t(beta)3.34179791142708
Minimum Sample Size (2 sided test)65.8877293050258
Minimum Sample Size (1 sided test)61.2367382504907


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62811290652744
t(alpha) + t(beta)3.31161740378198
Minimum Sample Size (2 sided test)171.528751791895
Minimum Sample Size (1 sided test)142.907707462845