Minimum Sample Size
Population Size100
Margin of Error1
Confidence0.95
Power0.95
Population Variance15
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)66.3174397788084
Minimum Sample Size (1 sided test)62.1172416854539


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance15
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)194.920650181792
Minimum Sample Size (1 sided test)162.332607245725


Minimum Sample Size (Unknown Population Variance)
Population Size100
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.66547265694289
t(alpha) + t(beta)3.34034015348258
Minimum Sample Size (2 sided test)67.0587832698596
Minimum Sample Size (1 sided test)62.8333852543045


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62502182028656
t(alpha) + t(beta)3.30870663654221
Minimum Sample Size (2 sided test)197.111747963306
Minimum Sample Size (1 sided test)164.213094100477