Minimum Sample Size
Population Size63
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13.7808
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)62.8160787505358
Minimum Sample Size (1 sided test)62.7391795799635


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance13.7808
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)21175.3502864886
Minimum Sample Size (1 sided test)14913.8212928792


Minimum Sample Size (Unknown Population Variance)
Population Size63
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.99908983228311
t(alpha) + t(beta)1.66991117020994
Minimum Sample Size (2 sided test)62.8231876418289
Minimum Sample Size (1 sided test)62.7469170307562


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)1.96007602597235
t(alpha) + t(beta)1.64495581180005
Minimum Sample Size (2 sided test)21177.7713354535
Minimum Sample Size (1 sided test)14915.6743622138