I thought that I would share my results. It appears that my Samsung tablet running 4.4.2 does not synchronize with the Internet, and I cannot find any settings to make it do so. I have had it plugged in and connected 24/7 while running a clock app for about a week now. It continues to be about 20 seconds off. I intentionally set it off, so that I could see the results when/if it synchronized.
Atomic clocks just don't work for me. I must live too far away from the radio source. I suppose I'll start looking to see if there are any clocks that connect and sync to the Internet. I may check this thread again next weekend to see if anyone has any additional suggestions.
(nickdalzell: The desktop that I am typing this on is over 10 years old. I know what you're saying! Sometimes, I'll actually go to the kitchen while I wait for Firefox to open, but once it does, I'm good to go! And, since it's Windows 10, it gets security updates.)
Again, thanks a lot, everybody!