Minimum Sample Size
Population Size98
Margin of Error0.15
Confidence0.85
Power0.2
Population Variance0.13
z(alpha/2) + z(beta)2.28115270451137
z(alpha) + z(beta)1.8780546230667
Minimum Sample Size (2 sided test)23.1882360301546
Minimum Sample Size (1 sided test)17.0142933064114


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.15
Confidence0.85
Power0.2
Population Variance0.13
z(alpha/2) + z(beta)2.28115270451137
z(alpha) + z(beta)1.8780546230667
Minimum Sample Size (2 sided test)30.0655775986196
Minimum Sample Size (1 sided test)20.3787374106173


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error0.15
Confidence0.85
Power0.2
Population Varianceunknown
t(alpha/2) + t(beta)2.34928417652502
t(alpha) + t(beta)1.93575109019662
Minimum Sample Size (2 sided test)24.2462388675298
Minimum Sample Size (1 sided test)17.8820718281853


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.15
Confidence0.85
Power0.2
Population Varianceunknown
t(alpha/2) + t(beta)2.33277726097669
t(alpha) + t(beta)1.92548872281847
Minimum Sample Size (2 sided test)31.441798551684
Minimum Sample Size (1 sided test)21.4211505253841