A consumer analyst reports that the mean life of a certain type of alkaline battery is more than 63 months. Write the null and alternative hypotheses.

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6DA. Theory and basics of writing hypotheses Links to an external site.Open this document with ReadSpeaker docReader (DOCX)

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Ho: μ = 63, Ha: μ < 63

Ho: μ = 63, Ha: μ > 63

Ho: μ = 63, Ha: μ ≥ 63

Ho: μ > 63, Ha: μ = 63

To write the null and alternative hypotheses for the given scenario:

**Null Hypothesis (Ho):** The null hypothesis represents the statement that there is no effect or no difference. In this case, it would be that the mean life of the battery is 63 months.

\[ H_0: \mu = 63 \]

**Alternative Hypothesis (Ha):** The alternative hypothesis represents the statement that we are trying to find evidence for. In this case, the analyst claims that the mean life of the battery is more than 63 months.

\[ H_a: \mu > 63 \]

So, the correct answer is:

**Ho: μ = 63, Ha: μ > 63**.

Would you like more details or have any questions?

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Here are 5 related questions you might find useful:

1. How do you determine the direction of the alternative hypothesis?
2. What is the purpose of the null hypothesis in hypothesis testing?
3. Can you explain what a Type I error would be in this context?
4. How would you interpret the p-value in this hypothesis test?
5. What statistical test would be appropriate for testing these hypotheses?

**Tip:** Always define the hypotheses clearly before starting any hypothesis test to avoid confusion later on.

Explore the concepts of null and alternative hypotheses in hypothesis testing. Learn how to formulate hypotheses, with a focus on a consumer analyst's report on alkaline battery life. Understand the significance of μ = 63 as the null hypothesis and μ > 63 as the alternative hypothesis.

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