Question

#10.     You are to determine if a new online teaching model is better than the existing model, labelled old. You administer random tests to a pre-selected group of students first for material taught the old model and then under the new model. The data is given in the Excel file and is labelled problem # 10. Carry out an appropriate procedure in hypothesis testing to determine if the new model is more effective for learning.

new	old
78	4
86	77
49	40
88	94
65	56
100	97
69	70
95	86
95	86
97	88
87	88
59	50
77	68
65	56
71	85
64	55
94	85
51	55
87	78
74	65
93	84
97	88
78	69
96	87
80	71
63	54
79	83
90	81
93	84
100	91
92	83
55	66
55	46
69	60
100	100

Answer 1

The hypothesis being tested is:

H0: µd = 0

Ha: µd > 0

79.743	mean new
72.286	mean old
7.457	mean difference (new - old)
13.230	std. dev.
2.236	std. error
35	n
34	df
3.335	t
.0010	p-value (one-tailed, upper)

The p-value is 0.0010.

Since the p-value (0.0010) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the new model is more effective for learning.

Please give me a thumbs-up if this helps you out. Thank you!