Minimum Sample Size
Population Size20000
Margin of Error0.15
Confidence0.95
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)61.2780872364839
Minimum Sample Size (1 sided test)43.1973572716298


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.15
Confidence0.95
Power0.5
Population Variance0.36
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)61.463341131106
Minimum Sample Size (1 sided test)43.2886952655266


Minimum Sample Size (Unknown Population Variance)
Population Size20000
Margin of Error0.15
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.00010803521015
t(alpha) + t(beta)1.68177497343132
Minimum Sample Size (2 sided test)63.80590378417
Minimum Sample Size (1 sided test)45.1539610972112


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.15
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.99998259260669
t(alpha) + t(beta)1.68169345200576
Minimum Sample Size (2 sided test)63.9988859316765
Minimum Sample Size (1 sided test)45.2494858643047