Minimum Sample Size
Population Size200
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.12
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)96.1892653133298
Minimum Sample Size (1 sided test)78.9780955868514


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.12
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)184.390023393318
Minimum Sample Size (1 sided test)129.86608579658


Minimum Sample Size (Unknown Population Variance)
Population Size200
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.98520009266729
t(alpha) + t(beta)1.66463026504316
Minimum Sample Size (2 sided test)97.4673221837942
Minimum Sample Size (1 sided test)80.123265135576


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.97298398490429
t(alpha) + t(beta)1.65676404776916
Minimum Sample Size (2 sided test)186.847958625063
Minimum Sample Size (1 sided test)131.753621279061