Minimum Sample Size
Population Size120
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)65.0109911734829
Minimum Sample Size (1 sided test)58.0020013224819


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)140.688259612961
Minimum Sample Size (1 sided test)111.330015558684


Minimum Sample Size (Unknown Population Variance)
Population Size120
Margin of Error1
Confidence0.9
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.33801763169042
t(alpha) + t(beta)2.96860842847345
Minimum Sample Size (2 sided test)65.8784840075178
Minimum Sample Size (1 sided test)58.8605109805349


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