Minimum Sample Size
Population Size150
Margin of Error1
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)37.6539845415207
Minimum Sample Size (1 sided test)28.6460910250305


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)49.9389646690236
Minimum Sample Size (1 sided test)35.1720649032404


Minimum Sample Size (Unknown Population Variance)
Population Size150
Margin of Error1
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.0268383007763
t(alpha) + t(beta)1.7018760466411
Minimum Sample Size (2 sided test)39.5778023399348
Minimum Sample Size (1 sided test)30.2590692377253


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.00963863419992
t(alpha) + t(beta)1.6906858682228
Minimum Sample Size (2 sided test)52.5024167208958
Minimum Sample Size (1 sided test)37.1594431651079