Minimum Sample Size
Population SizeNA
Margin of Error1
Confidence0.95
Power0.85
Population Variance13
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)NA
Minimum Sample Size (1 sided test)NA


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.85
Population Variance13
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)116.71916390052
Minimum Sample Size (1 sided test)93.4609008392531


Minimum Sample Size (Unknown Population Variance)
Population SizeNA
Margin of Error1
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)NA
t(alpha) + t(beta)NA
Minimum Sample Size (2 sided test)NA
Minimum Sample Size (1 sided test)NA


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.02177538804144
t(alpha) + t(beta)2.7037800450001
Minimum Sample Size (2 sided test)118.704644445049
Minimum Sample Size (1 sided test)95.0355449126293