Question

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to

maintain a true mean temperature, μ, of 47°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.
A) There is not sufficient evidence to support the claim that the mean temperature is equal to
47°F.
B) There is sufficient evidence to support the claim that the mean temperature is equal to 47°F.
C) There is not sufficient evidence to support the claim that the mean temperature is different
from 47°F.
D) There is sufficient evidence to support the claim that the mean temperature is different from
47°F.

Answer 1

The answer is D: There is sufficient evidence to support the claim that the mean temperature is different from 47%F

Answer 2

Given: Claim: The mean temperature of the refrigerators is different from 47 degrees

To Find: 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.

Solution:

Claim: The mean temperature of the refrigerators is different from 47 degrees

So, Null hypothesis:
`\bold{H_0:\mu=47}`

Alternate hypothesis:
`\bold{H_a:\mu\\eq47}`

We are given that the conclusion is to reject the null​ hypothesis.

So, we can say that the claim is true that mean temperature is different from 47 degrees.

There is sufficient evidence to support the claim that the mean temperature is different from 47 degrees.