The mean age for all foothill college students for a recent fall term was 33.2. the population standard deviation has been pretty consistent at 15. suppose that twenty-five winter students were randomly selected. the mean age for the sample was 30.4. we are interested in the true mean age for winter foothill college students. let x = the age of a winter foothill college student. construct a 95% confidence interval for the true mean age of winter foothill college students by working out then answering the exercise. identify the following specifications. (round your answers to two decimal places.)