At 95% confidence interval, we evaluate the critival value which is evaluated to be
[tex]1.96[/tex]The margin of error is expressed as
[tex]\text{Margin of error = Z}\times\frac{s}{\sqrt[]{N}}[/tex]thus, we have
[tex]\begin{gathered} \text{Margin of error = 1.96}\times\frac{4.3}{\sqrt[]{36}} \\ =\frac{1.96\times4.3}{6} \\ =1.4 \end{gathered}[/tex]The confidence interval is expressed as
[tex]CI\text{ = }\bar{x}\pm margin\text{ of error}[/tex]thus, we have
[tex]\begin{gathered} CI\text{ = 59.9}\pm1.4 \\ \end{gathered}[/tex]Hence, the confidence interval is between 58.5 and 61.3.
