A laptop manufacturer claims that the mean life of the battery for a certain model laptop is less than 5 hours. Choose the correct null and alternative hypothesis.

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### Hypothesis Testing Example

A laptop manufacturer claims that the mean life of the battery for a certain model laptop is less than 5 hours. Choose the correct null and alternative hypothesis:

- **A.** \( H_0: \mu < 5; \, H_a: \mu \geq 5 \)
- **B.** \( H_0: \mu \leq 5; \, H_a: \mu > 5 \)
- **C.** \( H_0: \mu \geq 5; \, H_a: \mu < 5 \)
- **D.** \( H_0: \mu > 5; \, H_a: \mu \leq 5 \)

**Explanation:** 

In hypothesis testing, you begin with a null hypothesis (\( H_0 \)) that represents the status quo or what is presumed to be true. The alternative hypothesis (\( H_a \)) is what you want to test for. In this case, you are testing whether the mean battery life is less than 5 hours.
Transcribed Image Text:### Hypothesis Testing Example A laptop manufacturer claims that the mean life of the battery for a certain model laptop is less than 5 hours. Choose the correct null and alternative hypothesis: - **A.** \( H_0: \mu < 5; \, H_a: \mu \geq 5 \) - **B.** \( H_0: \mu \leq 5; \, H_a: \mu > 5 \) - **C.** \( H_0: \mu \geq 5; \, H_a: \mu < 5 \) - **D.** \( H_0: \mu > 5; \, H_a: \mu \leq 5 \) **Explanation:** In hypothesis testing, you begin with a null hypothesis (\( H_0 \)) that represents the status quo or what is presumed to be true. The alternative hypothesis (\( H_a \)) is what you want to test for. In this case, you are testing whether the mean battery life is less than 5 hours.
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