Question: The U.S. Energy Information Association claims that the mean monthly residential electricity consumption in your town is more than 874 kilowatt-hours \((\mathrm{kWh})\). You find that a random sample of 64 residential customers has a mean monthly electricity consumption of \(905 \mathrm{kWh}\). Assume the population standard deviation is \(125 \mathrm{kWh}\). At the \(\alpha=0.05\) level of significance, what can you conclude about the association's claim?

Given the following information from the hypothesis test, write a complete sentence conclusion regarding the association's claim (use the template provided in the packet).

\(H_{o}: \mu \leq 874 \quad H a: \mu>874\)

the critical value is \(z_{0}=1.645\), and the test statistic is \(z=1.984\)

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