Minimum Sample Size
Population Size150
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)148.889418140228
Minimum Sample Size (1 sided test)148.428029709968


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)19975.5858676094
Minimum Sample Size (1 sided test)14068.8259612961


Minimum Sample Size (Unknown Population Variance)
Population Size150
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.97613467348199
t(alpha) + t(beta)1.65525495774441
Minimum Sample Size (2 sided test)148.907387681184
Minimum Sample Size (1 sided test)148.447519778409


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)1.96008275609091
t(alpha) + t(beta)1.64496195002219
Minimum Sample Size (2 sided test)19978.0069357697
Minimum Sample Size (1 sided test)14070.6790485083