Minimum Sample Size
Population SizeNA
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)NA
Minimum Sample Size (1 sided test)NA


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 SizeNA
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)NA
t(alpha) + t(beta)NA
Minimum Sample Size (2 sided test)NA
Minimum Sample Size (1 sided test)NA


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