Minimum Sample Size
Population Size106
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.23
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)81.7206480063363
Minimum Sample Size (1 sided test)74.5513264109028


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.23
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)353.414211503859
Minimum Sample Size (1 sided test)248.909997776778


Minimum Sample Size (Unknown Population Variance)
Population Size106
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.98979071209149
t(alpha) + t(beta)1.66583572249456
Minimum Sample Size (2 sided test)82.2814299082702
Minimum Sample Size (1 sided test)75.1091440335121


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)1.9667182549571
t(alpha) + t(beta)1.65102326064151
Minimum Sample Size (2 sided test)355.854223883098
Minimum Sample Size (1 sided test)250.780758260497