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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