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.(https://research.fhda.edu/factbook/FH_Demo_Trends/FoothillDemographicTrends.htm7
Let X = the age of a Winter Foothill College student
As a result of your answer to (4), state the exact distribution to use when calculating the Confidence Interval.