I thought the tablet was faulty and took it back and exchanged it for another one. Same problem. I was unsure whether the problem was the tablet or the router. I took the tablet to three WiFi hotspots. It connected just fine to all of them.
So there is some kind of problem with communication between the router and the tablet. I tried resetting the router to factory default settings, no connection. I removed all security on the router, no connection. I put the tablet MAC address in the router as an acceptable device, no connection.
So, I have run out of ideas. I sure would appreciate any help that someone would provide.