Final answer:
The claim can be written as the mathematical statement μ > 8. The null hypothesis is H0: μ ≤ 8, and the alternative hypothesis is Ha: μ > 8.
Step-by-step explanation:
The claim can be written as the mathematical statement: μ > 8, where μ represents the mean life of the battery for a certain model of laptop.
The null hypothesis is H0: μ ≤ 8, and the alternative hypothesis is Ha: μ > 8. The alternative hypothesis represents the claim made by the laptop manufacturer.