Minimum Sample Size
Population Size163
Margin of Error0.05
Confidence0.95
Power0.15
Population Variance20
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)162.633194866055
Minimum Sample Size (1 sided test)162.542169765042


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.15
Population Variance20
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)71827.1777849353
Minimum Sample Size (1 sided test)57514.4005164634


Minimum Sample Size (Unknown Population Variance)
Population Size163
Margin of Error0.05
Confidence0.95
Power0.15
Population Varianceunknown
t(alpha/2) + t(beta)3.01451871087719
t(alpha) + t(beta)2.69411200941801
Minimum Sample Size (2 sided test)162.637581825707
Minimum Sample Size (1 sided test)162.546506182189


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.15
Population Varianceunknown
t(alpha/2) + t(beta)2.99643788510574
t(alpha) + t(beta)2.68132285574043
Minimum Sample Size (2 sided test)71829.1199943757
Minimum Sample Size (1 sided test)57515.9380537283