An instructor believes that students do not retain as much information from a le

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 scores for material taught on Friday minus Monday are listed in the following table.

1.5

+4.4

+1.1

+3.3

+6.4

(a) Find the confidence limits at a 95% CI for these related samples. (Round your answers to two decimal places.)

_______to________

Difference Scores
(Friday Monday)

1.5

+4.4

+1.1

+3.3

+6.4

Explanation / Answer

From the given data mean and sample standard deviation is calculated.

CI = (-1.0431, 6.5231)

CI for 95% mean 2.74 std.dev. 3.046801602 n 5 t-value 2.7764 SE = std.dev./sqrt(n) 1.3626 ME = t*SE 3.7831 lower limit = mean - ME -1.0431 upper limit = mean + ME 6.5231

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