Yeah, Wichita State University does provide scholarships based on merit. Here are some of them:

Presidential Merit Scholarship
Total Worth: $16,000 for Kansas resident;$24,000 for non-Kansas resident
Eligibility: $16,000 for Kansas resident;$24,000 for non-Kansas resident
Minimum Criteria: a minimum 22 ACT or 1,100 SAT and 3.25 GPA

Morrison Merit Scholarship
Total Worth: $14,000 for Kansas resident; $20,000 for non-Kansas resident
Eligibility: $14,000 for Kansas resident; $20,000 for non-Kansas resident
Minimum Criteria: a minimum 22 ACT or 1,100 SAT and 3.25 GPA

Founders Merit Scholarship
Total Worth: $12,000 for Kansas resident ; $16,000 for non-Kansas resident
Eligibility: $12,000 for Kansas resident ; $16,000 for non-Kansas resident
Minimum Criteria: a minimum 22 ACT or 1,100 SAT and 3.25 GPA

Wichita State University provides aids at an average of 7704 per student meeting 68% of students need. 98% of students with need receive financial aid at an average of 5274 need-based grant. They also provide other scholarships including Linwood Sexton scholarship and Historic Midtown Citizens Association Endowed Scholarship.