Question

A liberal arts college in New Hampshire implemented an online homework system for their introductory math courses and wanted to know whether or not the system improved test scores. In the Fall semester, homework was completed the old fashioned way – with pencil and paper, checking answers in the back of the book. In the Spring semester, homework was completed online – giving students instant feedback on their work. The results are summarized below. Population standard deviations were used from past studies.

	Online (Group 1)	Pen and Paper (Group 2)
Number of Students	144	127
Mean Test Score	78.4	75
Population Standard Dev. Test Score	11.98	10.56

Is there evidence to suggest that the online system improves test scores? Use α=0.05. Select the correct alternative hypothesis and state the p-value. A. H1: µ1 ≠ µ2; p-value = .0130 B. H1: µ1 > µ2; p-value = .0065 C. H1: µ1 < µ2; p-value = .0065 D. H1: µ1 ≠ µ2; p-value = .0065 E. H1: µ1 < µ2; p-value = .0130 F. H1: µ1 > µ2;   p-value = .0130 Reset Selection

▲ Question Progress ▲

Answer 1

Here given that ni = 199 7. = 78.G 6 = 11.98 12 = 127 X2= 75 62 = 10.56 Here test of hypothesis is ولد تولد تمH يلد لوله ورلد : لم test statistic is a Xi - X2 ni n₂ 78.4-75 Tel. 98) (10.567 ✓ Tsh Ry 127 3.6 10.9966+0.8780 T2.4832 - calculated value Itable = Zx = 20.0s= 1.64 Decision: Ztable = 2.48 32 7 Z table = 1.64 at 51 1.0.5. . reject Ho.

IP-value & Plz 7 2.4832] = 0.0065 - P-value < 0.05 (1.o.s.) reject Ho. .. Conclusion: There is sufficient evidence to suggest that the system improves test scores. online