An instructor believes that students do not retain as much information from a le
ID: 3205998 • Letter: A
Question
An instructor believes that students do not retain as much information from a lecture on a Friday compared to a Monday. To test this belief, the instructor teaches a small sample of college students some preselected material from a single topic on statistics on a Friday and on a Monday. All students received a test on the material. The differences in exam scores for material taught on Friday minus Monday are listed in the following table.
+0.9
+3.4
1.6
+4.3
+6.2
(a) Find the confidence limits at a 95% CI for these related samples. (Round your answers to two decimal places.)
(b) Can we conclude that students retained more of the material taught in the Friday class?
Yes, because 0 lies outside of the 95% CI.
No, because 0 is contained within the 95% CI.
Difference Scores(Friday Monday)
+0.9
+3.4
1.6
+4.3
+6.2
Explanation / Answer
(a)
n1 = n2 = n = 5
d-bar = 2.64
s of d-bar = 3.041874422
% = 95
Degrees of freedom = n - 1 = 4
SE = s/n = 1.360367597
t- score = 2.776445105
Width of the confidence interval = t * SE = 3.776985957
Lower limit of the confidence interval = d-bar - width = -1.136985957
Upper limit of the confidence interval = d-bar + width = 6.416985957
The 95% confidence interval is [-1.14, 6.42]
(b)
No, because 0 is contained within the 95% CI.
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