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

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 boysâ€™ and girlsâ€™ UI1 test scores?
2. Is there a significant difference between boysâ€™ and girlsâ€™ UI2 test scores?
3. Is there a significant difference between 6-year-oldsâ€™ and 7-year-oldsâ€™ UI1 scores?
4. Is there a significant difference between 6-year-oldsâ€™ and 7-year-oldsâ€™ UI2 scores?
5. Is there a significant difference between UI1â€™s scores with respect to the number of devices they have at home?
6. Is there a significant difference between UI2â€™s scores with respect to the number of devices they have at home?
7. Is there a significant difference between studentsâ€™ 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).