Mathematics: Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( mu μ, p, sigma σ) 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 μ, of 48 degrees °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.

Express the null hypothesis and the alternative - id6461715, ilovecatsomuchlolol

Ответ:

vjacksongonzalez

26.01.2022

Mathematics

Null hypothesis: $H_0:\; \mu = 48\; ^\circ\rm F$ .

Alternative hypothesis: $H_1:\; \mu \ne 48\; \rm ^\circ F$ .

Step-by-step explanation:

In hypothesis testing, the alternative hypothesis H_1 represents the claim that is being tested. According to the claim in this question, the true (population) mean $\mu$ is "incorrect," or not equal to (" $\ne$ ") the proposed value of $48\; \rm ^\circ F$ . Hence, the alternative hypothesis for this question would be $H_0:\; \mu \ne 48\; \rm ^\circ F$ .

On the other hand, the null hypothesis represents what happens when that claim is disproved; it should always use the equal sign ("".) In this question, that's the same as saying that the (population) mean $\mu$ is indeed equal to $48\; \rm ^\circ F$ . Hence, the null hypothesis for this question would be: $H_1:\; \mu = 48\; \rm ^\circ F$ .