Minimum Sample Size
Population Size105
Margin of Error1
Confidence0.95
Power0.95
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)64.9899212937402
Minimum Sample Size (1 sided test)60.3717860543336


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)168.931230157553
Minimum Sample Size (1 sided test)140.688259612961


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.66675260030667
t(alpha) + t(beta)3.34185224422168
Minimum Sample Size (2 sided test)65.8301666270624
Minimum Sample Size (1 sided test)61.1769076976371


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62816902032638
t(alpha) + t(beta)3.31167025401028
Minimum Sample Size (2 sided test)171.126935720729
Minimum Sample Size (1 sided test)142.573078326854