Minimum Sample Size
Population Size98
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)97.7968137660882
Minimum Sample Size (1 sided test)97.7463806031889


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 Size98
Margin of Error0.05
Confidence0.95
Power0.85
Population Varianceunknown
t(alpha/2) + t(beta)3.02679144446509
t(alpha) + t(beta)2.70277516108395
Minimum Sample Size (2 sided test)97.8008656897248
Minimum Sample Size (1 sided test)97.7503870928163


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