Minimum Sample Size
Population Size105
Margin of Error1
Confidence0.9
Power0.95
Population Variance13
z(alpha/2) + z(beta)3.28970725390294
z(alpha) + z(beta)2.92640519249607
Minimum Sample Size (2 sided test)60.3717860543336
Minimum Sample Size (1 sided test)54.287144332073


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.9
Power0.95
Population Variance13
z(alpha/2) + z(beta)3.28970725390294
z(alpha) + z(beta)2.92640519249607
Minimum Sample Size (2 sided test)140.688259612962
Minimum Sample Size (1 sided test)111.330015558684


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error1
Confidence0.9
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.34185224422168
t(alpha) + t(beta)2.97159732651662
Minimum Sample Size (2 sided test)61.1769076976371
Minimum Sample Size (1 sided test)55.090285102571


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.9
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.31167025401028
t(alpha) + t(beta)2.9480539067487
Minimum Sample Size (2 sided test)142.573078326854
Minimum Sample Size (1 sided test)112.983283882252