Let X and Y be the ACT scores in social science and natural science for students applying for admission to a small liberal arts college. A sample of n = 15 such students yielded the following data: x 32 23 23 23 26 30 17 20 17 18 26 16 21 24 30 y 28 25 24 32 31 27 23 30 18 18 32 22 28 31 26 At α = 0.08, could it be that there is no difference in the social science ACT scores and natural science ACT scores of students applying for admission at the college?

Let X and Y be the ACT scores in social science and natural science for students applying for admission to a small liberal arts college. A sample of n = 15 such students
yielded the following data:
x 32 23 23 23 26 30 17 20 17 18 26 16 21 24 30
y 28 25 24 32 31 27 23 30 18 18 32 22 28 31 26
At α = 0.08, could it be that there is no difference in the social science ACT scores and
natural science ACT scores of students applying for admission at the college?