Question

For the statement below, write the claim as a mathematical statement. State the null and alternativehypotheses and identify which represents the claim.A laptop manufacturer claims that the mean life of the battery for a certain model of laptop ismore than 9 hours.Write the claim as a mathematical statement.

Answer 1

`\begin{gathered} H_o:\mu\leq9 \\ H_a:\mu>9 \end{gathered}`

Explanation:

A laptop manufacturer claims that the mean life of the battery for a certain model of laptop is more than 9 hours.

The null hypothesis states the opposite of the claim. Thus:

`H_o:\mu\leq9`

The alternate hypothesis on the other hand, states the claim:

`H_a:\mu>9`

Remark: The alternate hypothesis represents the claim.