Problem: A researcher wanted to test the theory that people who live in urban environments are more liberal compared to people who live in suburban environments. To test this, they gave a group of people from the suburbs and a group of people from the city a measure of liberalness (the higher the score, the more liberal-minded you are). The data are given below.
Suburban: M=15, n=60, sd=3.81
Urban: M=20, n=60, sd-3.39
Run the appropriate hypothesis test (all 4 steps) to test the hypothesis people in urban and suburban environments have significantly different levels of liberalness. Use an alpha of α=0.05, two-tailed test. Are you surprised at all with your results? Why/Why not?