Sew the white ends onto each arm and leg piece as shown in the photos.
I tested out sewing some stripes onto a practice arm (at the point shown in the third photo), but I didn't like the way the machine-stitched stripes looked on the completed arm. I decided to complete the entire Hobbes doll without stripes and sew them all on by hand at the end. This proved incredibly tedious, but allowed for very precise sizing and placement of stripes, which I appreciated.
Please examine the last three photos carefully if you have any questions on how the rounded ends of the arms and legs are accomplished.
Turn the arms and legs right side out, and fill with stuffing. Do not sew them shut at this point.