The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, µ, of 48°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) $\mathrm { H } _ { 0 } : \mu \neq 48 ^ { \circ }$ $\mathrm { H } _ { 1 } : \mu = 48 ^ { \circ }$ B) $\mathrm { H } _ { 0 } : \mu \leq 48 ^ { \circ }$ $\mathrm { H } _ { 1 } : \mu 48 ^ { \circ }$ C) $\mathrm { H } _ { 0 } : \mu \geq 48 ^ { \circ }$ $\mathrm { H } _ { 1 } : \mu

Question

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, µ, of 48°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) $\mathrm { H } _ { 0 } : \mu \neq 48 ^ { \circ }$
$\mathrm { H } _ { 1 } : \mu = 48 ^ { \circ }$

B) $\mathrm { H } _ { 0 } : \mu \leq 48 ^ { \circ }$
$\mathrm { H } _ { 1 } : \mu > 48 ^ { \circ }$

C) $\mathrm { H } _ { 0 } : \mu \geq 48 ^ { \circ }$
$\mathrm { H } _ { 1 } : \mu < 48 ^ { \circ }$

D) $\mathrm { H } _ { 0 } : \mu = 48 ^ { \circ }$
$\mathrm { H } _ { 1 } : \mu \neq 48 ^ { \circ }$

Quizplus · Accepted Answer

The null hypothesis should always state that there is no significant difference or effect, meaning that the mean temperature is equal to 48°F. The alternative hypothesis should state the opposite, that there is a significant difference or effect, meaning that the true mean temperature is not equal to 48°F. Therefore, the correct choice is D.

The Manufacturer of a Refrigerator System for Beer Kegs Produces H0:μ≠48∘\mathrm { H } _ { 0 } : \mu \neq 48 ^ { \circ }H0​:μ=48∘

The Manufacturer of a Refrigerator System for Beer Kegs Produces $\mathrm { H } _ { 0 } : \mu \neq 48 ^ { \circ }$