Minimum Sample Size
Population Size162
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)160.70474567181
Minimum Sample Size (1 sided test)160.167089318524


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 Size162
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.97492938239615
t(alpha) + t(beta)1.65448332352391
Minimum Sample Size (2 sided test)160.724147348384
Minimum Sample Size (1 sided test)160.188125702688


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