Use data collected from a sample of applicants at a college admissions office to measure how large the difference is in the average size of the financial aid package between early decision applicants and regular decision applicants.

Identify the method of analysis needed to answer the question. Indicate whether we should conduct a hypothesis test or find a confidence interval and also indicate whether the analysis will be done on a proportion, a mean, a difference in proportions, a difference in means, or a matched pairs difference in means.