The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, , of 41F, 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. Identify the type I error for the test.
A) The error of rejecting the claim that the mean temperature equals 41F when it really does equal 41F.
B) The error of rejecting the claim that the mean temperature equals 41F when it is really different from 41F.
C) The error of failing to reject the claim that the mean temperature equals 41F when it is really different from 41F.
Question 2
Suppose that you wish to use a hypothesis test to test a claim made by a juice bottling company regarding the mean amount of juice in its 16 oz bottles.
Why does the original claim sometimes become the null hypothesis, and why does it sometimes become the alternative hypothesis? Give an example of a claim which would become the null hypothesis and an example of a claim would become the alternative hypothesis.
Question 3
A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Identify the type I error for the test.
A) The error of failing to reject the claim that the mean weight is at least 14 oz. when it is really less than 14 oz.
B) The error of failing to reject the claim that the mean weight is at least 14 oz. when it is really more than 14 oz.
C) The error of rejecting the claim that the mean weight is at least 14 oz. when it really is at least 14 oz.
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