Use the information to construct $90\%$ and $99\%$ confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.

Researchers surveyed a random sample of $32$ U$.$S$.$ workers ages $16$ years and over who did not work from home and asked how long $($in minutes$)$ it takes them to get from home to work. The

responses are listed.

From past studies, the researchers assume that $$ is $18\mathrm{.}3$ minutes.

Construct the $90\%$ and $99\%$ confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals.

he $90\%$ confidence interval is $).($Round to one decimal place as needed.$)$