Question A test of abstract reasoning is given to a random sample of students be

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Question A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Construct a 95% confidence interval for the mean difference between the before and after scores. Is there evidence to suggest the logic course improves abstract reasoning? You may assume that the differences for the dependent samples are normally distributed . Before 74, 83, 75, 88, 84, 63, 93, 84, 91, 77 After 73, 77, 70, 77, 74, 67, 95, 83, 84, 75

Note : define d = before - after, then = 3.7 and s = 4.95

Please sketch the rejection region and show computation for the test statistic

Explanation / Answer

using the difference d = 3.7 and s = 4.95

n = 10

df = 9

alpha = 0.05

alpha / 2 = 0.025

t = 1.833

I: 3.7 +/- 1.833 * 4.95 / srqt(10)

I: 3.7 +/- 2.869

0.831 < d' < 6.569

. Is there evidence to suggest the logic course improves abstract reasoning?

no there is no evidence to suggest that because the confidence interval does not contain 0 or negative values

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