Minimum Sample Size
Population Size98
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)53.5210687403551
Minimum Sample Size (1 sided test)48.0894936540127


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 Size98
Margin of Error1
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.05294142641666
t(alpha) + t(beta)2.72583630727361
Minimum Sample Size (2 sided test)54.4276478947933
Minimum Sample Size (1 sided test)48.896829293267


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