The U$.$S$.$ Energy Information Administration claimed that U$.$S$.$ residential customers used an average of $10,176$

kilowatt hours $($kWh$)$ of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of $122$

of their customers and calculates that these customers used an average of $10,559$kWh

of electricity last year. Assuming that the population standard deviation is $2756$kWh

$,$ is there sufficient evidence to support the power company's claim at the $0\mathrm{.}05$

level of significance?

Step $1$ of $3$ : State the null and alternative hypotheses for the test. Fill in the blank below.

H$0$Ha: $\backslash$mu $=10,176$: $\backslash$mu $10,176$