Should I move from Westwood High School to McNeil to increase my chances to college admittance?

Currently I am going to Westwood High School which is extremely competitive and if I switch to McNeil High School my class rank will go up and I will probably be among the top ten, while at Westwood I am top 6.4%. Do you think it is better to graduate from a competitive school or to graduate with a higher class rank to get into University of Texas at Austin.

If it helps, I am planning to get into their College of Natural Sciences or a major that will help me pursue a career in medicine.

If this is for fall 2018 you just need to be in the top 7%. If this is for admission to Fall 2019 and you are just outside
the top 6% I still wouldn’t switch high schools. Work on getting your ACT and SAT scores higher and strong ECs.

yes I’m going to be graduating in the class of 2020. Also, you have any personal admission experience with Ut Austin?
Thanks!