Minimum Sample Size
Population Size98
Margin of Error0.05
Confidence0.95
Power0.21
Population Variance0.13
z(alpha/2) + z(beta)2.76638523155829
z(alpha) + z(beta)2.45127487396971
Minimum Sample Size (2 sided test)78.794024912826
Minimum Sample Size (1 sided test)74.7837691528897


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.21
Population Variance0.13
z(alpha/2) + z(beta)2.76638523155829
z(alpha) + z(beta)2.45127487396971
Minimum Sample Size (2 sided test)397.950136967959
Minimum Sample Size (1 sided test)312.454922403272


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error0.05
Confidence0.95
Power0.21
Population Varianceunknown
t(alpha/2) + t(beta)2.80164974509882
t(alpha) + t(beta)2.47672328998025
Minimum Sample Size (2 sided test)79.1822200866118
Minimum Sample Size (1 sided test)75.1477326558888


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.21
Population Varianceunknown
t(alpha/2) + t(beta)2.77321842920815
t(alpha) + t(beta)2.45725156613323
Minimum Sample Size (2 sided test)399.918503717185
Minimum Sample Size (1 sided test)313.980433481738