Minimum Sample Size
Population Size98
Margin of Error1
Confidence0.65
Power0.05
Population Variance13
z(alpha/2) + z(beta)2.57944291802495
z(alpha) + z(beta)2.03017409335904
Minimum Sample Size (2 sided test)46.1950094329539
Minimum Sample Size (1 sided test)34.8711390900334


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.65
Power0.05
Population Variance13
z(alpha/2) + z(beta)2.57944291802495
z(alpha) + z(beta)2.03017409335904
Minimum Sample Size (2 sided test)86.495834975538
Minimum Sample Size (1 sided test)53.5808890415006


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error1
Confidence0.65
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)2.62364923602883
t(alpha) + t(beta)2.07971003384653
Minimum Sample Size (2 sided test)47.025652939323
Minimum Sample Size (1 sided test)35.96153577924


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.65
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)2.6026091541106
t(alpha) + t(beta)2.06178604184393
Minimum Sample Size (2 sided test)88.0564673177836
Minimum Sample Size (1 sided test)55.2625018704521