structor believes that topic on statistics on a Friday and on a Monday. All stud

Question

structor believes that 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. s much information An in students do not retain a from a lecture on a Friday compared to a Monday. To test this belief, the instructor tesches a small sample of college students some preselected material from a single Difference Scores y- Monday) +6.2 +4.5 +3.4 0.9 (a) Find the confidence limits at a 95% CI for these related samples. (Round your answers to to decimal places.) (b) Can we conclude that students retained more of the material taught in the Friday class? Yas, because 0 lies outside of the 95% CI. No, because 0 is contained within the 95% CI

Explanation / Answer

a) M = 2.66
t critical value with 4 degrees of freedom at alpha=0.05 is 2.78
sM = (3.12/5) = 1.39

= M ± t(sM)
= 2.66 ± 2.78*1.39
= 2.66 ± 3.8492

95% CI [-1.1892, 6.5092].

b) no, because 0 is contained within the 95% Confidence interval.

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