Express the Null Hypothesis $\mathrm { H } _ { 0 }$

Multiple Choice

Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$ , $\sigma$ ) for the indicated parameter.
-The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, $\mu$ , of $48 ^ { \circ } \mathrm { F }$ , ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

A) $\begin{array}{l}\mathrm{H}_{0}: \mu \geq 48^{\circ} \\\mathrm{H}_{1}: \mu<48^{\circ}\end{array}$

B) $\begin{array}{l}\mathrm{H}_{0}: \mu=48^{\circ} \\\mathrm{H}_{1}: \mu \neq 48^{\circ}\end{array}$

C) $\begin{array}{l}\mathrm{H}_{0}: \mu \neq 48^{\circ} \\\mathrm{H}_{1}: \mu=48^{\circ}\end{array}$

D) $\begin{array}{l}\mathrm{H}_{0}: \mu \leq 48^{\circ} \\\mathrm{H}_{1}: \mu>48^{\circ}\end{array}$