Question

the mathematics department decided to offer a redesigned course called Network Analysis. The instructor wanted to determine if the istribution in the course differed from that of traditional courses. The follow shows the grade distribution of traditional courses based on al records and the observed grades in the class of 80 students. A B с D F ditional 0.15 0.35 0.25 0.2 0.05 cribution Ferved 10 25 22 18 5 ants he sample evidence suggest that the distribution of grades is different from the traditional classes at the a -0.05 level of significance? nsider the hypotheses He: the grade distributions are the same versus Hy: the grade distributions are not the same. ject Ho. There is not sufficient evidence to conclude that the two grade distributions are different. il to reject Hy. There is not sufficient evidence to conclude that the two grade distributions are different. il to reject Hg. There is sufficient evidence to conclude that the two grade distributions are different. ject Ho. There is sufficient evidence to conclude that the two grade distributions are different.

Answer 1

А. 0115 a R 0.35 C 0.25 Total 0.2 0.05 1 Conditional dista Observed Count col Expected count CEJ 25 22 18 5 80 12 28 20 16 4 80 To tist Ho: distribution of grades Hi distribution of grades da same as traditional classes dre different as traditional classes df = k-1= 4 v x = 0.05 Test statistics is 2 2 +(18-16) ² x² = CO-E) E = (10-12 1² + (25-28)² + (22-20) + 15-43²14 x² 1.3548 ✓ 28 16 df = 4 P-value= P L t > 1.3548] =0.9292 V 30.05 y fail to Reject Ho there is not sufficient evidence to conclude that the two grude distributions are differnt.