Minimum Sample Size
Population Size105
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)69.0500761118014
Minimum Sample Size (1 sided test)60.3717860543336


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 Size105
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.99544234338915
t(alpha) + t(beta)1.67092612211084
Minimum Sample Size (2 sided test)69.8934524813136
Minimum Sample Size (1 sided test)61.1769076976371


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