OK, the screws on the butt plate of my Savage 99C have stripped the wood. I read the best way to fix this is by drilling out and filling with a hardwood dowel. The recommendation was that the dowel be "a little bigger" than the OD of the screws.
The screws have a OD of 5/32". What is a good size of dowel? (what does "a little bigger" mean?) Home Depot sells 5/16"?
First couple of minutes will show you some tools and techniques available to you.
You can find pre-made dowels at specialty wood shops big orange box store might have some , maybe even pre-made oak or maple teak dowels.
As Why not has mentioned that is another fix to a stripped screw hole and using Sikaflex®-232 US (trade name/mark or even JB Weld) will work for the task.
The butt plate is covering the offending plug so there is another couple of ideas.
Rob