Question 1 (42pts) A researcher is interested in the effect type of residence has on the personal happiness of college students. She selects samples of students who live in campus dorms, in off-campus apartments, and at home and asks the 12 respondents to rate their happiness on a scale of 1 (not happy) to 10 (happy). Using the following information, a researcher examines differences in happiness between students living in campus dorms, apartments and at home.

Dorms Apartments At Home

8 2 5

9 1 4

7 3 3

8 3 4

(a) (6pts) Identify an independent variable and dependent variable.

(b) (6pts) State the research hypothesis and null hypothesis for this question.

(c) (5pts) Which test statistic should you use? (e.g., two sample independent T-test, ANOVA, chi-square, or correlation)?

(d) (10 pts) Compute the appropriate test statistic (Please show all your work).