A random sample of $n=16$ mid$-$sized cars tested for fuel consumption gave a mean of $\stackrel{}{x}=23\mathrm{.}39$ miles per gallon with a standard

deviation of $s=2\mathrm{.}80$ miles per gallon.

Assuming that the miles per gallon given by all mid$-$sized cars have a normal distribution, find a $99\%$ confidence interval for the

population mean, $.$

Round your answers to two decimal places.

$$