It's hardly a coincidence that the word "muse" appears in "museum!" MuPA Museo Paleontologico Archeologico aims to inspire and entertain visitors, so find a place for it on your schedule.
You're spoiled for sightseeing choice in Serravalle di Chienti. MuPA Museo Paleontologico Archeologico is a good place to start here, but there are many other worthy places to explore. Parco Colfiorito, and Museo Archeologico di Colfiorito are near the museum and will fill in your day nicely.