Suppose a sample of n students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, our teaching leads to improvement in students test score. Student Pre-module score Post-module score Difference 1 18 22 4 2 21 25 4 3 16 17 1 4 22 24 2 5 19 16 -3 6 24 29 5 7 17 20 3 8 21 23 2 9 23 19 -4 10 18 20 2 11 14 15 1 12 16 15 -1 13 16 18 2 14 19 26 7 15 18 18 0 16 20 24 4 17 12 18 6 18 22 25 3 19 15 19 4 20 17 16 -1 a) Construct the null and alternative hypothesis. b) Calculate the t value using appropriate formula. c) Perform the paired t-test in statistical analysis software. d) State the conclusion.
Suppose a sample of n students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, our teaching leads to improvement in students test score. Student Pre-module score Post-module score Difference 1 18 22 4 2 21 25 4 3 16 17 1 4 22 24 2 5 19 16 -3 6 24 29 5 7 17 20 3 8 21 23 2 9 23 19 -4 10 18 20 2 11 14 15 1 12 16 15 -1 13 16 18 2 14 19 26 7 15 18 18 0 16 20 24 4 17 12 18 6 18 22 25 3 19 15 19 4 20 17 16 -1 a) Construct the null and alternative hypothesis. b) Calculate the t value using appropriate formula. c) Perform the paired t-test in statistical analysis software. d) State the conclusion.
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Suppose a sample of n students were given a diagnostic test before studying a particular
module and then again after completing the module. We want to find out if, our teaching
leads to improvement in students test score.
Student Pre-module
score
Post-module
score
Difference
1 18 22 4
2 21 25 4
3 16 17 1
4 22 24 2
5 19 16 -3
6 24 29 5
7 17 20 3
8 21 23 2
9 23 19 -4
10 18 20 2
11 14 15 1
12 16 15 -1
13 16 18 2
14 19 26 7
15 18 18 0
16 20 24 4
17 12 18 6
18 22 25 3
19 15 19 4
20 17 16 -1
a) Construct the null and alternative hypothesis.
b) Calculate the t value using appropriate formula.
c) Perform the paired t-test in statistical analysis software.
d) State the conclusion.
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