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 48degreesF, 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.

Question

24-04-2020
Mathematics

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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 48degreesF, 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.

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dfbustos dfbustos · Answer 1 · 2020-05-02T04:33:22+02:00

Answer:

For this case the claim of the owner of the brewery is that the true mean temperature is incorrect from the reported value from the manufacturer, so he want to proof that the true mean temperature is not equal to 48 F and this claim represent the alternative hypothesis.

Null hypothesis: [tex]\mu = 48[/tex]

Alternative hypothesis: [tex]\mu \neq 48[/tex]

Step-by-step explanation:

For this case the claim of the owner of the brewery is that the true mean temperature is incorrect from the reported value from the manufacturer, so he want to proof that the true mean temperature is not equal to 48 F and this claim represent the alternative hypothesis.

By the complement rule we will have the null hypothesis. And on this case the system of hypothesis are:

Null hypothesis: [tex]\mu = 48[/tex]

Alternative hypothesis: [tex]\mu \neq 48[/tex]

And in order to test this hypothesis he should conduct a t or z test for the mean in order to determine is the difference claimed is statistically significantly at some confidence level assumed.