Psychological Testing Methods

Reformatted from statpower.net.

Hypothesis	Stipulation	Test
$\begin{matrix} H_{0} & : & μ & = & a \\ H_{1} & : & μ & \neq & a \end{matrix}$	Confidence Interval, Variance Known	$\begin{matrix} \overline{x} & \pm & Φ (\frac{α}{2}) \frac{σ}{\sqrt{n}} \end{matrix}$
	Confidence Interval, Variance Unknown, Normally Distributed Population	$\begin{matrix} \overline{x} & \pm & {}_{\frac{α}{2}}t_{n - 1}^{-1} (\frac{s}{\sqrt{n}}) \end{matrix}$
$\begin{matrix} H_{0} & : & σ_{1} & = & σ_{2} \\ H_{1} & : & σ_{1} & \neq & σ_{2} \end{matrix}$	Confidence Interval	$\begin{matrix} {}_{1 - \frac{α}{2}}F_{n_{1} - 1, n_{2} - 1} & \leq & \frac{s_{1}^{2}}{s_{2}^{2}} & \leq & {}_{\frac{α}{2}}F_{n_{1} - 1, n_{2} - 1} \end{matrix}$