Minimum Sample Size
Population Size200
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.3
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)139.69469074867
Minimum Sample Size (1 sided test)123.997243088504


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.3
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)460.975058483295
Minimum Sample Size (1 sided test)324.665214491449


Minimum Sample Size (Unknown Population Variance)
Population Size200
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.97721594369054
t(alpha) + t(beta)1.6573366789706
Minimum Sample Size (2 sided test)140.430393094246
Minimum Sample Size (1 sided test)124.708451083602


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)1.96513474213232
t(alpha) + t(beta)1.64957506858897
Minimum Sample Size (2 sided test)463.410546568257
Minimum Sample Size (1 sided test)326.531748829238