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You have sample data that leads you to believe that the average high temperature in Oklahoma City is \( 92^{\circ} \mathrm{F} \). What is the alternative hypothesis, \( H_{a} \), for this situation? \( \mu<90 \) \( \mu>90 \) x \( \mu=90 \) \( \mu \neq 90 \) REFRY

Ask by Campos Potter. in the United States
Feb 25,2025

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The alternative hypothesis is \( H_a: \mu \neq 90 \).

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Beyond the Answer

In this scenario, since you initially believe the average high temperature is \(92^{\circ} \mathrm{F}\) and you want to test if it differs from a specific value of \(90^{\circ} \mathrm{F}\), the alternative hypothesis \(H_a\) signifies that it does not equal \(90^{\circ} \mathrm{F}\). Therefore, \(H_a: \mu \neq 90\) is the correct choice. This pertains to hypothesis testing, which is all about making inferences from data. It's essential to determine what you suspect your population parameter (in this case, the average temperature) is doing compared to a reference value. An alternative hypothesis allows you to challenge the status quo and dig deeper into the data.

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