Question: What is the average SAT value for incoming students in all of the schools located in the state with the lowest state appropriations to higher education in fiscal year 2011 per resident?
SQL: SELECT AVG(t1.med_sat_value) FROM institution_details AS T1 INNER JOIN state_sector_details AS T2 ON t1.state = t2.state ORDER BY t2.state_appr_value LIMIT 1