Thank you Nelsa for sticking with me on this.
Site5 told me this is what they did to make it work.
We manually changed your user's shell from "/usr/local/cpanel/bin/noshell" to "/bin/bash" which fixed your cronjobs. You should be able to enable the user shell by default when creating your accounts from WHM or while creating your account packages.
I got that information about 10 p.m. last night
I have been watching Settings --> System --> Automation to determine if the cron job, which Site5 got going about 4:30 yesterday afternoon, was running or not. From 4:30 to about 11:30 when I went to bed, Settings --> System --> Automation indicated that the cron job was not working, even when clearing the cache on 3 different browsers, or checking the mailbox where the report is also supposed to go.
Today I was going to ask why Settings --> System --> Automation did not work for showing if the cron was working. But before I asked I decided that I'd better check it. To my surprise, it is working. Now I have to ask why did it start working?