1. Miguel hypothesizes that the number of times people move during childhood predicts how much they feel a sense of belonging in their current city. He surveys seven people and measures both variables. Conduct the appropriate hypothesis test to determine whether these variables are significantly related. And, if Miguel moved four times as a child, what do you predict his sense of belonging score will be? Show all work

Childhood Moves	Sense of Belonging
0	9
4	3
2	6
1	7
1	6
6	2
1	8

2. Linnea is studying education practices around the world. She surveys school teachers in two countries - one sample from a high school in Kenya and one from Germany - and asks how many days of each semester they spend doing in-class testing. In each location, she recruits a teacher from each department at a school (language arts, math, science, etc.) so that she can compare the data from people who are teaching the same subjects and ages of students. Using the data below, determine which hypothesis test Linnea should conduct to answer her question, calculate the necessary statistics (show your work), and write a conclusion that would be appropriate for a research paper. SHOW ALL WORK

Kenya teachers	Germany teachers
4	6
8	5
5	8
9	8
6	5
5	8
7	9
5	7
8	8
6	9

3. Libby thinks that people in her town are paying higher home insurance rates than average Americans are. She finds a recent, nationally-representative survey that shows the average American household spends $1445 per year on their home insurance. Libby surveys a random sample of 29 people from her town to ask how much their insurance costs, and finds that = $1526, and s_X = 147. Calculate a 95% confidence interval for Libby's sample mean. Based on this confidence interval, what can you say about her hypothesis? SHOW ALL WORK