Table 2.

Power of Normal models.

Hypotheses	Power
Ho: μ= μo Ha: μa > μo	$1-\beta =P\left(Z>\frac{{\mu }_o+\frac{Z_{\alpha }\sigma }{\sqrt{n}}-{\mu }_a}{\frac{\sigma }{\sqrt{n}}}\right)$
Ho: μ= μo Ha: μa < μo	$1-\beta =P\left(Z<\frac{{\mu }_o-\frac{Z_{\alpha }\sigma }{\sqrt{n}}-{\mu }_a}{\frac{\sigma }{\sqrt{n}}}\right)$
Ho: μ= μo Ha: μa ≠ μo	$1-\beta =P\left(Z>\frac{{\mu }_o+\frac{Z_{\alpha ∕2}\sigma }{\sqrt{n}}-{\mu }_a}{\frac{\sigma }{\sqrt{n}}}\right)+P\left(Z>\frac{{\mu }_o-\frac{Z_{\alpha ∕2}\sigma }{\sqrt{n}}-{\mu }_a}{\frac{\sigma }{\sqrt{n}}}\right)$