point(s) possible Check here for instructional material to complete this problem. Evaluate the formula $E=z\left(\frac{\sigma}{\sqrt{n}}\right)$, where $z^{*}=1.645, \sigma=30.63$, and $n=40$ $E=\square$ (Round to three decimal places as needed.)

Step 1 ：Given the formula \(E=z\left(\frac{\sigma}{\sqrt{n}}\right)\), where \(z^{*}=1.645\), \(\sigma=30.63\), and \(n=40\).

Step 2 ：Substitute the given values into the formula: \(E=1.645\left(\frac{30.63}{\sqrt{40}}\right)\).

Step 3 ：Calculate the value of \(E\), which is approximately 7.96678144912125.

Step 4 ：Round the value of \(E\) to three decimal places to get the final answer: \(\boxed{7.967}\).