Chapter 4, Problem 29E

Consider the hypotheses

$\begin{array}{l}{H}_0:\mu ={\mu }_0\\ H_1:\mu \ne {\mu }_0\end{array}$

where ${\sigma }^2$ is known. Derive a general expression for determining the sample size for detecting a true mean of ${\mu }_1\ne {\mu }_0$ with probability 1 – β if the type I error is α.