In my experience, the weather reporting (typically from airports) publishes the barometric pressure corrected to sea level. This is so the aircraft can set their altimeter to show elevation above mean sea level (MSL); it would show 600 ft while on the ground at that airport. 600 ft MSL would correct the actual measurement of 29.46"Hg to 30.10"Hg [reported]

14.78 psi = 30.10"Hg (units conversion) not MSL correction
14.47 psi = 29.46"Hg