Name: Cumulative Homework Assignment 2 {out of 63 points} 1. Alex wants to know whether college major affects happiness ratings. To that end, she recruits 15 people to be in her study 5 psychology majors, 5 biology majors and 5 math majors. She asks each of them to rate their happiness on a scale from 1-10. The data follows. Is there a signicant difference among college majors in their happiness ratings? (21 points) Psychology Biology __ __ 2. In question 1, if you had conducted a t-test on happiness ratings between biology majors and math majors, what would your decision have been with respect to the null hypothesis? (1 point) 3. If the distribution of happiness ratings is approximately normal in the general student population, what proportion of samples of size n = 64 would have a mean score between 5 and 7, if u = 6.2 and a = 4? (5 points) 4. Alex then decides to gather data another way. Instead of asking people to rate their happiness, she simply asks people if they are happy or not. Of the 5 psychology majors, all 5 state that they are happy. Of the 5 biology majors, 3 state that they are happy and 2 state that they are not happy. 0f the 5 math majors, 2 state that they are happy and 3 state that they are not happy. Is there a signicant relationship between major and whether a person reports being happy? (\"This question is worth a BONUS 8 points\")