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

question 26

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

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Definitions:

Physiological Processes

The functions and activities within living organisms that contribute to life, including such processes as metabolism, homeostasis, growth, and reproduction.

Passive Transport

The movement of substances across cell membranes without the need for energy, utilizing gradients of concentration, pressure, or electrical charge.

Capillaries

Tiny blood vessels that connect arteries and veins, facilitating the exchange of oxygen, nutrients, and waste between blood and tissues.

Filtration

A physical or mechanical process used to separate solid particles from fluids or gases by passing them through a filter medium.