Final answer:
Amelia is working on a feasibility report, analyzing the financial viability of building a new community center.
Step-by-step explanation:
Amelia is writing an analytical report that evaluates the financial viability of building a new community center in her town. The specific type of report she is working on is a feasibility report. This kind of report is meant to assess whether a certain project or proposal, in this case, the construction of a new community center, is possible and practical, especially in terms of financial implications. A feasibility report is distinct from other types of analytical reports because it specifically focuses on the question of whether the proposed action is workable, considering various factors including financial resources, time, and technical requirements. This differs from a recommendation report which would choose between alternatives, a yardstick report which would measure against a standard, or an informational report that solely presents facts without analysis.