According to the National Oceanic and Atmospheric Administration (NOAA), the Fujita Tornado Damage Scale was developed in 1971 by T. Theodore Fujita of the University of Chicago.
The original Fujita Scale was a way to assess tornado damage — a rating would be assigned based on observable evidence after a storm hit an area, not before.
In the movie, the father of young Jo (Helen Hunt's character) says of an impending storm: "The TV says it's big. It might be an F-5."
It's not impossible that a TV newscaster might have speculated about the seriousness of the impending storm, but it seems unlikely.
Further into the film, the tornado chasers also remark on the Fujita scale ratings of active storms they are chasing. Meteorologist Kathryn Prociv wrote a point-by-point review of the science in "Twister" for the Washington Post, in which she called out several specific inaccuracies. The Fujita scale issue, she said, was possibly the most egregious error made, since a rating could not be assessed before the storm actually caused damage.