Name: Cumulative Homework Assignment 2 (out of 48 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 significant difference among college majors in their happiness ratings? (21 points) Psychology Biology Math 7 5 4 8 7 3 6 4 6 9 5 5 8 3 4 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 o = 4? (5 points) 4. Olivia wants to know whether day of the week affects the number of times people smile in a day. To that end, Olivia recruits 4 people to be in her study. She asks these 4 people to count how many times they each smile on a Monday. She then asks the same 4 people to count how many times they each smile on a Thursday. Finally, she asks the same 4 people to count how many times they each smile on a Saturday. The data follows. Does day of the week significantly affect the number of times people smile in a day? (16 points) Monday Thursday Saturday 2 4 6 4 5 4 3 3 7 4 3 7 5. In question 4, what is Olivia's dependent variable? (1 point) 6. In question 4, on what scale is Olivia's dependent variable measured? (1 point) 7. In question 4, is Olivia's dependent variable continuous or discrete? (1 point) 8. In question 4, what is Olivia's factor and what are the levels of that factor? (2 points)