Minimum Sample Size
Population Size35
Margin of Error1
Confidence0.95
Power0.95
Population Variance3.19663865546219
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)19.2466299619679
Minimum Sample Size (1 sided test)17.6516903432512


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance3.19663865546219
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)41.5393923412626
Minimum Sample Size (1 sided test)34.5945791575763


Minimum Sample Size (Unknown Population Variance)
Population Size35
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.83168312541454
t(alpha) + t(beta)3.48340528440068
Minimum Sample Size (2 sided test)20.2963699375772
Minimum Sample Size (1 sided test)18.6512349930786


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.70355813163014
t(alpha) + t(beta)3.38299173904766
Minimum Sample Size (2 sided test)43.846191715899
Minimum Sample Size (1 sided test)36.5843565857073