Minimum Sample Size
Population Size98
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance13.03
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)97.8598460754532
Minimum Sample Size (1 sided test)97.8317586738419


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance13.03
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)67728.4285831666
Minimum Sample Size (1 sided test)56405.1699309811


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.64549723735081
t(alpha) + t(beta)3.32148486887526
Minimum Sample Size (2 sided test)97.8629521921623
Minimum Sample Size (1 sided test)97.8349571063164


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.6048751377125
t(alpha) + t(beta)3.28976128516797
Minimum Sample Size (2 sided test)67730.5902412899
Minimum Sample Size (1 sided test)56407.0227813886