Minimum Sample Size
Population Size150
Margin of Error1
Confidence0.95
Power0.05
Population Variance13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)79.7017786238732
Minimum Sample Size (1 sided test)72.8480987463532


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.05
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 Size150
Margin of Error1
Confidence0.95
Power0.05
Population Varianceunknown
t(alpha/2) + t(beta)3.65501373852015
t(alpha) + t(beta)3.3326792328608
Minimum Sample Size (2 sided test)80.733892661832
Minimum Sample Size (1 sided test)73.8209531949952


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.05
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