Hi Al and Welcome! Don't fret about terminology, etc..

We're here to help. It's all part of the fun of having a digital camera!
Let's see, by "mottled" appearance, I'm assuming you are noticing small rectangular blocks (pixels) throughout your image. Is this correct? And, that you are noticing this mottling when viewing the images at normal size (and the appearance is worse when zoomed in or enlarged), yes?
If this is correct, then there are a couple of things that could be going on.
First, the images may have been shot using the "digital zoom" option (rather than "optical zoom"). Digital zoom merely magnifies the central portion of the image (not unlike a magnifying glass) thereby enlarging the pixels to unappealing sizes. To remedy this, use your optical zoom function and, if you want, enlarge further in an imaging editing software later.
Or, secondly, they may have been shot with a lot of compression. The more compression you apply the greater the loss of detail. This compression function is also known by the term "quality setting" on many cameras. What the camera is doing is throwing out a percentage of the pixels while still maintaining the overall dimension of the image. This often results in an image that looks unnatural and choppy (when printed/enlarged) as compared to an uncompressed image. If you're wanting the images to be of print quality, shoot with either no compression or the lowest compression factor available on your camera. (You might like to look at this article which discusses this point in a bit more detail:
http://www.digicamhelp.com/taking-pictures/image_quality.htm.)
Now, as for whether or not the mottled images you have can be corrected ... hmmmm, that all depends on how mottled they are. You might want to look at a software such as Genuine Fractals (
http://www.lizardtech.com/) or other similar software which creates resolution-independent images from any size file. Also, there may be other things you can do in the image editing software that came with your camera. You might want to double-check there too.
Hope this helps. Now, go out and have fun with your new camera!

Cheers,
Deb