Minimum Sample Size
Population Size162
Margin of Error0.05
Confidence0.9
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)160.167089318524
Minimum Sample Size (1 sided test)159.002533041889


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.9
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)14068.8259612962
Minimum Sample Size (1 sided test)8540.34695877905


Minimum Sample Size (Unknown Population Variance)
Population Size162
Margin of Error0.05
Confidence0.9
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.65448332352391
t(alpha) + t(beta)1.2869325445316
Minimum Sample Size (2 sided test)160.188125702688
Minimum Sample Size (1 sided test)159.027087881866


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.9
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.6449619500222
t(alpha) + t(beta)1.28165071266075
Minimum Sample Size (2 sided test)14070.6790485083
Minimum Sample Size (1 sided test)8541.66845617186