Question

express the null hypothesis and the alternative hypothesis in symbolic form. use the correct symbol (μ, p, σ) for the indicated parameter
the manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, 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. ( h_0: mu = 48^{circ}f )
( h_1: mu
eq 48^{circ}f )
b. ( h_0: mu
eq 48^{circ}f )
( h_1: mu = 48^{circ}f )
c. ( h_0: mu leq 48^{circ}f )
( h_1: mu > 48^{circ}f )
d. ( h_0: mu geq 48^{circ}f )
( h_1: mu < 48^{circ}f )

Explanation:

• The null hypothesis \(H_0\) is a statement of no difference or equality. Here, the manufacturer claims the mean temperature \(\mu = 48^{\circ}F\), so \(H_0:\mu = 48^{\circ}F\).
• The alternative hypothesis \(H_1\) is the claim we are trying to find evidence for. The owner claims the mean temperature is incorrect, which means \(\mu

eq48^{\circ}F\).

Answer:

A. \(H_0:\mu = 48^{\circ}F\), \(H_1:\mu
eq48^{\circ}F\)