Question

In: Statistics and Probability

A group of twenty students and we want to investigate the effect of the use of...

A group of twenty students and we want to investigate the effect of the use of some didactic resource, a video on YouTube, on their ability to solve certain types of mathematical problems. We take an initial test, we ask them to watch the video and when they finish we take another test. We now have two observations from each student. Please use the statistical methods learned in this semester (T test/variance analysis/regression analysis/chi-square test) to calculate and write a short report.

Name

Before

After

Difference

Luis

18

22

4

Javier

21

25

4

Pedro

16

17

1

Soledad

22

24

2

Manuel

19

16

-3

Cecilia

24

29

5

Cristina

17

20

3

Angel

21

23

2

Manuela

23

19

-4

Jose

18

20

2

Juan

14

15

1

Antonio

16

15

-1

Carmen

16

18

2

Carlos

19

26

7

Francisco

18

18

0

Miguel

20

24

4

Laura

12

18

6

Lucia

22

25

3

Paula

15

19

4

Dolores

17

16

-1

Solutions

Expert Solution

Solution : A group of twenty students and we want to investigate the effect of the use of some didactic resource, a video on YouTube, on their ability to solve certain types of mathematical problems. We take an initial test, we ask them to watch the video and when they finish we take another test. We now have two observations from each student.

We have to use paired t test since we have before and after type data

we have data of scores before watching the video and after watching the video

X= score before watching video

Y = score after watching video

Y - X = difference > 0 ( should be if video works )

H0 : there is no change in score

vs H1: there is change in score

test : H0: difference = 0

vs H1: difference > 0

test rule : reject Ho if tcal > t(n-1),los

tcal = 3.23125 > t table value = t 14, 0.05 = 2.093

Thus we reject H0

Hence the difference is positive implies that , scores before watching the video and after watching the video are significatly changed and score after watching video is more than before.

Hence , effect of the use of some didactic resource, a video on YouTube, on their ability to solve certain types of mathematical problems.is positive.

orchestra answered 1 year ago
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