Proper Radiator Cap Pressure Rating for 1994 Honda Accord EX?

1994 Honda Accord EX, 4 door
4 cylinder, Automatic Transmission

I just recently replaced the Radiator fan motor, and now both my AC fan
and Radiator fan seem to be capable of turning on and off. However,
I don't think that they are turning on soon enough. With the recent hot
weather here in PA, if I idle the car with the AC off, I've noticed that
the temperature gauge needle will rise to just under the red zone (hot),
and then both fans (AC and Radiator) will come on, cool things a
little, turn off and then cycle on and off as they should, but at a
generally
higher temperature than I remember in the past. The radiator cap is rated at
13 psi. Is this the correct rating for the above vehicle? I am wondering if
it
may have been accidentally replaced last summer.

Thanks,

Gary