Minimum Sample Size
Population Size105
Margin of Error1
Confidence0.95
Power0.95
Population Variance12.53
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)64.0741027626369
Minimum Sample Size (1 sided test)59.4243896673293


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance12.53
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)162.823716451857
Minimum Sample Size (1 sided test)135.601837919262


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.66766754841232
t(alpha) + t(beta)3.34271140931027
Minimum Sample Size (2 sided test)64.9340848373582
Minimum Sample Size (1 sided test)60.247131639126


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62905629619482
t(alpha) + t(beta)3.31250597266406
Minimum Sample Size (2 sided test)165.020721499919
Minimum Sample Size (1 sided test)137.487878611257