Minimum Sample Size
Population Size141
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)140.708473290547
Minimum Sample Size (1 sided test)140.650094944908


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)67572.4920630212
Minimum Sample Size (1 sided test)56275.3038451846


Minimum Sample Size (Unknown Population Variance)
Population Size141
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.6329232130061
t(alpha) + t(beta)3.31167629641901
Minimum Sample Size (2 sided test)140.712957406184
Minimum Sample Size (1 sided test)140.654710625232


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.60487527046942
t(alpha) + t(beta)3.28976140985978
Minimum Sample Size (2 sided test)67574.6537213382
Minimum Sample Size (1 sided test)56277.1566957736