Minimum Sample Size
Population Size98
Margin of Error20
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)0.125972361038071
Minimum Sample Size (1 sided test)0.0887562015885237


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error20
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)0.124847411672559
Minimum Sample Size (1 sided test)0.0879301622581009


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error20
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)NaN
t(alpha) + t(beta)NaN
Minimum Sample Size (2 sided test)NaN
Minimum Sample Size (1 sided test)NaN


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error20
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)NaN
t(alpha) + t(beta)NaN
Minimum Sample Size (2 sided test)NaN
Minimum Sample Size (1 sided test)NaN