Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ 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) $\begin{array} { l } H _ { 0 } : \mu = 48 ^ { \circ } \ H _ { 1 } : \mu \neq 48 ^ { \circ } \end{array}$ B) $\begin{array} { l } H _ { 0 } : \mu \neq 48 ^ { \circ } \ H _ { 1 } : \mu = 48 ^ { \circ } \end{array}$ C) $\begin{array} { l } H _ { 0 } : \mu \leq 48 ^ { \circ } \ H _ { 1 } : \mu 48 ^ { \circ } \end{array}$ D)$\begin{array} { l } H _ { 0 } : \mu \geq 48 ^ { \circ } \ H _ { 1 } : \mu

Question

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol $( \mu , p , \sigma )$ 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)  $\begin{array} { l } 
H _ { 0 } : \mu = 48 ^ { \circ } \
H _ { 1 } : \mu \neq 48 ^ { \circ }
\end{array}$
B)  $\begin{array} { l } 
H _ { 0 } : \mu \neq 48 ^ { \circ } \
H _ { 1 } : \mu = 48 ^ { \circ }
\end{array}$
C) $\begin{array} { l } 
H _ { 0 } : \mu \leq 48 ^ { \circ } \
H _ { 1 } : \mu > 48 ^ { \circ }
\end{array}$
D)$\begin{array} { l } 
H _ { 0 } : \mu \geq 48 ^ { \circ } \
H _ { 1 } : \mu < 48 ^ { \circ }
\end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents a statement of no effect or no difference, and it is tested against an alternative hypothesis ($H_1$ or $H_a$) which represents a statement of a difference or effect. In this case, $H_0: \mu = 48^\circ$ states that the true mean temperature is 48 degrees, as claimed by the manufacturer, and $H_1: \mu \neq 48^\circ$ represents the brewery owner's claim that the true mean temperature is not 48 degrees. This forms a two-tailed test since the owner believes the temperature could be either higher or lower than 48 degrees.

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic (μ,p,σ)( \mu , p , \sigma )(μ,p,σ)

Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $( \mu , p , \sigma )$