Statement that alter the style of an anchor element mouse is moved over it

One way to alter the style of an anchor element when the mouse is moved over it is by using CSS pseudo-classes such as :hover.

For example, you can write the following CSS statement to change the background color of the anchor element when the mouse is hovered over it:

```css
a:hover {
background-color: yellow;
}
```

This statement will apply the background color of yellow to the anchor element when the mouse is moved over it. You can replace "yellow" with any valid color value to change the style as desired.