Minimum Sample Size
Population Size1988
Margin of Error0.05
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)1906.84574953856
Minimum Sample Size (1 sided test)1887.66930361768


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
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)46687.6655602079
Minimum Sample Size (1 sided test)37384.3603357012


Minimum Sample Size (Unknown Population Variance)
Population Size1988
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.99792495882775
t(alpha) + t(beta)2.68238000701589
Minimum Sample Size (2 sided test)1906.92506035501
Minimum Sample Size (1 sided test)1887.74692812133


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)2.99645969972532
t(alpha) + t(beta)2.68134215476456
Minimum Sample Size (2 sided test)46689.6078068054
Minimum Sample Size (1 sided test)37385.8979047706