Is there a significant difference between boys and girls UI1 test scores statistics homework help

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An IBM internship student designed two different user interfaces (e.g. UI1 and UI 2) for help age of 6-7 students to solve simple math problems. She would like to know which interface is better for improving their skills on solving math problems. The collected data include the attributes as UI1 test score, UI2 test score, Number of Electric devices they have at home, Age, Student Gender

UI 1

UI 2

Devices

Age

Gender

5

18

4

6

boy

15

20

3

7

girl

15

21

4

7

boy

14

22

5

7

boy

12

15

4

6

girl

10

20

3

6

girl

14

23

3

7

boy

12

25

4

6

girl

16

21

4

7

girl

5

19

5

6

boy

6

18

3

6

boy

14

26

5

7

girl

15

25

4

7

girl

7

28

5

6

boy

9

22

3

6

girl

6

29

4

7

boy

15

24

4

6

girl

11

20

3

6

girl

6

21

5

6

boy

15

23

4

7

girl

15

25

6

7

boy

5

22

4

6

boy

7

24

3

6

girl

16

15

5

7

girl

15

24

5

7

boy

15

23

6

7

boy

For this assignment, you need to apply t-test to find answers for the following research questions:

  1. Is there a significant difference between boys’ and girls’ UI1 test scores?
  2. Is there a significant difference between boys’ and girls’ UI2 test scores?
  3. Is there a significant difference between 6-year-olds’ and 7-year-olds’ UI1 scores?
  4. Is there a significant difference between 6-year-olds’ and 7-year-olds’ UI2 scores?
  5. Is there a significant difference between UI1’s scores with respect to the number of devices they have at home?
  6. Is there a significant difference between UI2’s scores with respect to the number of devices they have at home?
  7. Is there a significant difference between students’ UI1 and UI2 scores?

5 points per each question (you need to provide null & alternative hypothesis and both p- & t-value to get full credits).

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