Dr. Coffee
Yep. I'm a professional scientist - acoustics happens to be my profession.
Now the cautious provisos: Whether the difference is significant - it brings noise down to tolerable levels - is a different question. Which is why I say 'might'.
As for how to show you how to do things, Missouri is a bit too far away for a personal visit, so you'll have to settle for a sketch. I don't know how to adjust fonts in post here, so you will need to copy the below (including the x'es, which are there to align the rest of the drawing) into notepad or word, and select a fixed-width font (e.g. Courier) to see the idea:
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The sketch shows the egg cartons seen from above. Each carton section could be 12-15cm wide (along the line indicated), full height. Put that screen between a noise source and you: The carboards should be at some angle wrt the axis between the soure and you (e.g. 45 degrees), and there should be some space between the plates. Make sure there is space (say, 2-4cm) between adjacent screen sections. Play with distances, angles and alignments, and you will hear the difference.
The sound that enters the slits between screen sections will hit the carboard, and bounce away in some other directions than it entered. After it reflects the first time, it very soon hits another wall, and reflects again. Every reflection makes the sound go in a different, random, direction, so less sound leaves the screen in the original direction. Each reflection also causes a small loss - sound energy is lost and converted to heat. Any single reflection loss is too small to make a difference, but since the sound is trappend inside a 'bouncing chamber', it will experience a large number of reflections, which in turn cause a large number of losses, which yet in turn makes a difference on the measurements.
This is how those perforated sound-reducing roof plates work: The sound energy that hit the holes enter a tunnel where it experiences a large number of bounces off the walls inside the cavity. Some of that sound is channeled out at the other side of the plate, and some of the sound energy is converted to heat at the reflections off the walls inside the holes. Both mechanisms reduce the total sound level in the room, thus quieting the room.
DoC