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

question 20

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

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Definitions:

Cognitive Model

A theoretical construct that represents how cognitive processes work to help us understand and predict behavior.

Maladaptive Behavior

Actions or tendencies that are counterproductive to oneself or others, often negatively impacting functioning and well-being.

Irrational Beliefs

Thoughts or ideas that are not based on reality or logical reasoning, often leading to negative emotions.

Fugue

A psychiatric disorder characterized by reversible amnesia for personal identity, including the memories, personality, and other identifying characteristics of individuality.