Consider a hypothesis testing:

$H_0$:$=70$

$H_1$:$>70$

Assume the data are normally distributed and the following information is provided:

$\stackrel{}{x}=71\mathrm{.}8$

$=8\mathrm{.}9$

$n=100$

Use $0\mathrm{.}05$ level of significance, should we reject $H_0?$ Show your calculations.