Minimum Sample Size
Population Size105
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)104.456164082666
Minimum Sample Size (1 sided test)104.229511458772


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 Size105
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.98316021996987
t(alpha) + t(beta)1.65974878135401
Minimum Sample Size (2 sided test)104.468747753145
Minimum Sample Size (1 sided test)104.243179429553


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