Answer the following. 1. The dean of a university wishes to estimate the average age of students presently enrolled. From past studies, the standard deviation is known to be 2 years. A sample of 50 students is selected, and the mean is found to be 19.2 years. Find the 99% confidence interval of the population mean. 2. A sample of 50 days showed that a fastfood restaurant served an average of 182 customers during lunch (11 AM - 2 PM). The standard deviation of the sample is 8. Find the 95% confidence interval for the mean. 3. A study of 36 camels showed that they could walk an average rate of 4.2 km/hr. The sample standard deviation is 0.64. Find the 90% confidence interval of the mean for all camels