Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $\mu ,$

question 104

Multiple Choice

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, ?) 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°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)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mu \neq 48^{\circ} \\
• \mathrm{H}_{1}: \mu=48^{\circ}
• \end{array}\)
• C)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mu=48^{\circ} \\
• \mathrm{H}_{1}: \mu \neq 48^{\circ}
• \end{array}\)
• D)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mu \leq 48^{\circ} \\
• \mathrm{H}_{1}: \mu>48^{\circ}
• \end{array}\)

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Definitions:

Conservation Skills

Cognitive abilities that enable a child to understand that quantity or amount does not change when its form or appearance is altered, a concept developed by Jean Piaget.

Preoperational Thought

A stage in Piaget's theory of cognitive development where children (ages 2-7) begin to engage in symbolic play and struggle with logic and understanding others' perspectives.

Intuitive Reasoning

The process of making decisions on the basis of what feels right or what is instinctively believed to be true without logical reasoning.

Symbolic Thought

The ability to use symbols, like words or images, to represent objects, actions, or ideas not physically present.