A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, $19$ subjects had a mean wake time of $101\mathrm{.}0$min. After treatment, the $19$ subjects had a mean wake time of $91\mathrm{.}4$min and a standard deviation of $20\mathrm{.}8$min. Assume that the $19$ sample values appear to be from a normally distributed population and construct a $99\%$ confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of $101\mathrm{.}0$min before the treatment? Does the drug appear to be effective?

Construct the $99\%$ confidence interval estimate of the mean wake time for a population with the treatment.

minmin

$($Round to one decimal place as needed.$)$