SOLUTION
Step1: write out the given parameters
[tex]\begin{gathered} n=22 \\ \bar{x}=31 \\ s=5 \end{gathered}[/tex]
The Z score for 80% confidence interval is 1.82
Step2: Write out the formula for the margin of error
[tex]\begin{gathered} \text{ The Margin of error=z}\times\frac{s}{\sqrt[]{n}} \\ z=1.82,s=5,n=22 \\ \end{gathered}[/tex]
Step3: Substitute the parameters into the formula
[tex]\begin{gathered} \text{The margin of error =1.82}\times\frac{5}{\sqrt[]{22}}=1.82\times\frac{5}{4.69}=1.82\times1.07 \\ \\ \text{The margin of error=1.82}\times1.07=\pm1.94 \end{gathered}[/tex]
Therefore, the margin of error is 1.94
