Suppose a sample of n = 15 students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, our teaching leads to improvements in students' knowledge/skills (i.e. test scores). If the following results were obtained:     Student Pre-module Post-module Difference score   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 17 18 -1     State the null hypothesis. Test the null hypothesis at a =0.05 level of significance.

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Suppose a sample of n = 15 students were given a diagnostic test before studying a particular

module and then again after completing the module. We want to find out if, in general, our teaching leads to improvements in students' knowledge/skills (i.e. test scores). If the following results were obtained:

 

 

Student Pre-module Post-module Difference score

 

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

17

18

-1

 

 

State the null hypothesis.

Test the null hypothesis at a =0.05 level of significance.

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