Question: #3) Given:

\[\begin{aligned} & {{H}_{0}}:\mu \ge 500 \\ & {{H}_{A}}:\mu <500 \\ \end{aligned}\] \[\begin{aligned} & \sigma =50 \\ & n=100 \\ & \alpha =0.0228 \\ \end{aligned}\]

Find \(\beta \) when \(\mu =495\).