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.

Question

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

Quizplus · Accepted Answer

The null hypothesis ($\mathrm{H}_0$) typically states that there is no effect or no difference, which in this context means the refrigerator maintains the mean temperature at $48^\circ F$. The alternative hypothesis ($\mathrm{H}_1$) is what the brewery owner believes, which is that the true mean temperature is not $48^\circ F$, indicating a two-sided test.

Express the Null Hypothesis H0\mathrm { H } _ { 0 }H0​

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