Minimum Sample Size
Population Size150
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)85.915055062179
Minimum Sample Size (1 sided test)72.8480987463532


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)199.755858676094
Minimum Sample Size (1 sided test)140.688259612961


Minimum Sample Size (Unknown Population Variance)
Population Size150
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.98829662097756
t(alpha) + t(beta)1.66633961643040
Minimum Sample Size (2 sided test)86.9664036064099
Minimum Sample Size (1 sided test)73.8209531949952


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)1.97197136374429
t(alpha) + t(beta)1.65583512700514
Minimum Sample Size (2 sided test)202.210895090231
Minimum Sample Size (1 sided test)142.573078326854