3.4) In the table below, there are pre-module scores and post-module scores for 10 students. Student Pre-module Score Post-module Score 1 18 22 2 21 25 3 16 17 4 22 24 5 19 16 6 24 29 7 17 20 8 21 23 9 23 19 10 18 20 Suppose we would like to test whether the post-module scores are higher than the pre-module scores. Assuming that all necessary assumptions hold. Let α = 0.05 a) Give the null and the alternative hypotheses. b) Compute the test statistic. c) What is the p-value associated with the sample results? What is your conclusion based on the p-value?

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3.4) In the table below, there are pre-module scores and post-module scores for 10 students.

Student Pre-module Score Post-module Score
1 18 22
2 21 25
3 16 17
4 22 24
5 19 16
6 24 29
7 17 20
8 21 23
9 23 19
10 18 20

Suppose we would like to test whether the post-module scores are higher than the pre-module scores. Assuming that all necessary assumptions hold. Let α = 0.05

a) Give the null and the alternative hypotheses.

b) Compute the test statistic.

c) What is the p-value associated with the sample results? What is your conclusion based on the p-value?

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