Question

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°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. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.There is not sufficient evidence to support the claim that the mean temperature is different from 42 deg There is not sufficient evidence to support the claim that the mean temperature is equal to 42 deg There is sufficient evidence to support the claim that the mean temperature is different from 42 deg There is sufficient evidence to support the claim that the mean temperature is equal to 42deg

Answer 1

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e mean μ = 42

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

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

`\mathbf{H_o : \mu = 42} \\ \\ \mathbf {H_1 : \mu \\eq 42}`

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule: is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg