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

question 17

Multiple Choice

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) \(H _ { 0 } : \mu = 48 ^ { \circ }\)
• \(H _ { 1 } : \mu \neq 48 ^ { \circ }\)
• B) \(H _ { 0 } : \mu \neq 48 ^ { \circ }\)
• \(H _ { 1 } : \mu = 48 ^ { \circ }\)
• C) \(H _ { 0 } : \mu \leq 48 ^ { \circ }\)
• \(H _ { 1 } : \mu > 48 ^ { \circ }\)
• D) \(H _ { 0 } : \mu \geq 48 ^ { \circ }\)
• \(H _ { 1 } : \mu < 48 ^ { \circ }\)

---

Definitions:

Normally Distributed

This symmetric distribution about the mean suggests that events are more likely to happen closer to the mean than farther from it.

Standard Deviation

An index that evaluates the extent of variation or scatter of data points from the dataset's average.

Performance Management Systems

Frameworks used by organizations to monitor, manage, and improve the performance of employees through goal clarity, continuous feedback, and performance appraisals.

Creative Problem Solving

A method that uses innovative and imaginative approaches to find solutions to complex problems.