this started about a week ago, I noticed my radiator cooling fan keeps running when I turned off the car, and it sounds like it is on high speed, this is something new, I never heard my fan running like this and when I turn the ignition to the on(but do not turn engine over) the fan shuts off.
the temps have been in the high 70's with muggy conditions, the temp gauge is reading in the normal range which is in the middle, I touched the hoses under the hood and they do not seem too hot, the radiator doesn't feel extremely hot, not sure if this normal or is something going on with this cooling fan components?
If I let it run it will run for about 10 minutes before shutting off.

I have a: 03 Mustang GT 4.6L it is stock.