Among the most exciting aspects of a university professor's life are the departmental meetings where such critical issues as the color the walls will be painted and who gets a new desk are decided. A sample of 20 professors was asked how many hours per year are devoted to such meetings. The responses are listed below. Assuming that the variable is normally distributed with a standard deviation of 10 hours, estimate the mean number of hours spent at departmental meetings by all professors. Use a confidence level of 92%.

$$\begin{array}{cccccccccc} 5, & 12, & 14, & 4, & 19, & 5, & 19, & 15, & 17, & 20, \\ 12, & 10, & 8, & 10, & 14, & 3, & 10, & 19, & 8, & 16 \end{array}$$

Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits.

Confidence Interval =