To construct a 90% confidence interval
Let's follow the following steps
Step 1: List out all the parameters
[tex]\begin{gathered} n\text{ = 38} \\ \vec{}x\text{ = 2.3} \\ \sigma\text{ =0.2} \end{gathered}[/tex]Step 2: Use the formula
[tex]\vec{}x+Z_{\alpha}\text{ x}\frac{\sigma}{\sqrt[]{n}}[/tex]