Linc,
It was hard for me to believe that the original, factory system on my new machine and/or the 10.11.1 updater were causing the problem, but I took your advice and reinstalled the OS. I'm not sure whether the on-board recovery disk was working or not because the screen that came up after I chose to reinstall at noon on Saturday said "Downloading additional components. Your computer will restart automatically. About 36 hours and 6 minutes remaining." When I went to bed at 1 AM on Sunday morning, the time remaining was 22 hours. However, when I got up at 6 AM, the installer was running and said installation would be complete in about 7 minutes.
Ten minutes later, I opened Terminal, inserted the thumb drive I wanted to be my El Cap Installer, pasted in the appropriate SUDO command, and got the following "mom message" before the Password prompt: "We trust you have received the usual lecture from the local System Administrator. It usually boils down to these three things: #1) Respect the privacy of others. #2) Think before you type. #3) With great power comes great responsibility." That's very different from the message Terminal used to display the first time a user invoked SUDO. My recollection of that old boilerplate is that it said (in essence) "Are you sure you know what you're doing? Go here to read more about SUDO. Type [this] to abort."
Anyway, after entering my admin password and hitting return, I got the following response: "Applications/Install OS X El Capitan.app does not appear to be a valid OS installer application." I quit Terminal, double-clicked Install OS X El Capitan.app in my Applications folder, and got what appeared to be a normal start screen, so I chose to install OS X El Capitan on my thumb drive to see if there would be problems with the installation. I had set up the 16 GB thumb drive with an 8 GB partition, but the Installer said it needed an additional 2.97 GB to install El Cap, so I used Disk Utility to change the thumb drive to one, 16 GB partition, and proceeded to install. A little over an hour later, I had a start-up thumb drive that worked, so I felt confident there was no problem with my Install OS X El Capitan.app program.
I went back to Terminal, inserted a new thumb drive to be my El Cap Installer, pasted in the appropriate SUDO command again, and everything proceeded just fine. After entering my admin password, I got a prompt for consent to erase the thumb drive, which took only a few seconds after I said "Yes," and then, in less than 13 minutes, the job was done and I had an El Cap installer thumb drive.
Thanks for your help.