In the last 4 years a total of 55 Gossett High School students were admitted to nearby Gridiron State University. Of those students, 16 were offered athletic scholarships. Gossett High Schools guidance counselor looked at the composite ACT scores of the 55 students admitted to Gridiron State University (summary shown in the table), wondering if Gridiron State University might admit students with lower ACT scores if they were also athletes. Is there evidence that the mean ACT score of athletes admitted to Gridiron State University is significantly lower than the mean ACT score of non-athletes admitted to Gridiron State University?

Determine the value of the test statistic for this hypothesis test (do not assume equal variances) Use 3 decimal places in your answer.