Question

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 48degrees​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. Upper H 0​: munot equals48degreesF Upper H 1​: muequals48degreesF B. Upper H 0​: mugreater than or equals48degreesF Upper H 1​: muless than48degreesF C. Upper H 0​: muless than or equals48degreesF Upper H 1​: mugreater than48degreesF D. Upper H 0​: muequals48degreesF Upper H 1​: munot equals48degreesF

Answer 1

`H_o:\mu = 48\\H_a:\mu\\eq48`

Explanation:

Given : . The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean​ temperature, 48°​F, ideal for a certain type of German pilsner.

To Find : The owner of the brewery does not agree with the refrigerator​ manufacturer, and claims he can prove that the true mean temperature is incorrect.

Solution:

We are given that refrigerators that are supposed to maintain a true mean​ temperature, 48°​F.

Claim : The true mean temperature is incorrect.

So, null hypothesis and alternate hypothesis will be :

`H_o:\mu = 48\\H_a:\mu\\eq48`

So, Option D is true .