If you had asked a couple of days ago, I could have measured everything exactly. It's in place now to stay. Checking the little section of hose I cut out, the hose itself measures 5/8" by 7/8" (~16mm x 22mm).
It was a real struggle to insert the sensor housing into the hose. The barb OD was about 3/4" (~19mm). The hose looks quite expanded (this matches the look of the hoses on the thermostat housing which are also heavily expanded).
It looks like you should order for a 16mm hose and assume that the housing barb will be oversize for a very tight fit in the hose. You might want to call TrailTech and to find out the actual barb diameter.
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2011 EC250E
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