15.(7 pts) A random sample of 13 men and 19 women in a college class reported their GPA and the information is summarized in this form: ym = 2.898, s. = 0.583, y, =3.330, s, = 0.395. A student is claiming that this is an evidence that women have higher GPA than men. To confirm or reject this claim test the hypothesis: H : /w -Hm, = 0, H, : H, -Hm >0