answer the problem.

3. (15 points) Confidence Interval: Explain how you would construct a 99% confidence interval for the true population mean based on this sample IF the CHP believes that the true population standard deviation is 5 mph. As part of your answer, give the upper and lower boundaries of the confidence interval. 59.8 65.3 68.4 55 69.9 65 62.5 54 65.1 64.9 63.8 63.6 67 60 56.6 66.1 48.4 73.8 63.8 69.7 63.5 52.9 76 59.4 59.9 66 65.1 69.5 66 69.5