Norton: After weeks of trying everything, some uinknown combination finally worked a couple of weeks ago, so Time Machine has been normal since. I tried Live Update this morning, and it told me that I was already updated. Your Norton page is not very informative, so I don't know if it was automatically updated or not. I turned Idle Scan on this morning. The next Time Machine ran well. The hard disk in the iMac is running non-stop again, where it has not since I disabled Idle Scan. Clearly, Idel Scan is running whether I'm idle or not. I recommend that idle scan goes to sleep when the user is useing the computer, but it doesn't. I'll let this forum know what happened when it runs all day while I'm at work.
Clearly and obviously, Mavericks and Time Machine have a problem. What that is, is still unknown. I don't know what caused it; I don't know what fixed it. But I will not "upgrade" the other two Macs we have to Mavericks until and if this problem is fully understood and resolved. In my opinion, and in hindsight, Mavericks does not provide me with anything that Mountain Lion didn't have already, and has been a problem since upgrading. Even if the problem isn't Apple's, it should be investigated, and there is no evidence that it is. Norton, on the other hand, has investigated, has responded here, and has acted -- and I do appreciate that! Thank you, Vineeth.
Update coming at the end of the day.