Minimum Sample Size
Population Size1988
Margin of Error0.73
Confidence0.95
Power0.85
Population Variance13
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)197.379536139494
Minimum Sample Size (1 sided test)161.238321288596


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.73
Confidence0.95
Power0.85
Population Variance13
z(alpha/2) + z(beta)2.99639737403384
z(alpha) + z(beta)2.68128701644526
Minimum Sample Size (2 sided test)219.02639125637
Minimum Sample Size (1 sided test)175.381686694038


Minimum Sample Size (Unknown Population Variance)
Population Size1988
Margin of Error0.73
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.01129495695601
t(alpha) + t(beta)2.69421690421329
Minimum Sample Size (2 sided test)199.149988931461
Minimum Sample Size (1 sided test)162.669588443691


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.73
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.00980858900074
t(alpha) + t(beta)2.6931632427129
Minimum Sample Size (2 sided test)220.991406739527
Minimum Sample Size (1 sided test)176.938763885716