(2 points) 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 8 hours, estimate the mean number of hours spent at departmental meetings by all professors. Use a confidence level of 92%. 5, 14, 18, 3, 18, 4, 21, 16, 18, 23, 10, 8. 5, 11, 16, 2, 9, 22, 7, 16 HINT: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits, Notice that the population standard deviation is provided in the problem. To get the mean for use in your confidence interval, use the sample mean formula from Chapter 2. You should have all that you need from there. Confidence interval