3. Conduct an analysis of variance (ANOVA) to test the same hypothesis in Question 2.

A. What is the result? Should you expect a different result than was obtained in 2B?

B. Add the data below to the data set:

021 3 21 21 4 5 3 3 4 6 5 3 2 3 4 5 5 4 2 2 1 3 022 3 21 27 4 4 2 5 3 5 3 2 3 5 1 3 2 2 3 3 4 2 023 3 25 30 4 3 4 2 3 5 5 2 5 5 2 4 1 2 6 2 5 1 024 3 23 35 7 7 3 4 2 5 3 2 5 5 3 5 1 2 5 4 1 5 025 3 27 23 3 5 4 4 6 5 4 2 4 5 2 3 2 2 4 2 1 3 026 3 27 21 2 2 3 5 3 5 3 2 3 5 3 4 3 2 3 4 4 7 027 3 24 19 3 1 5 3 2 4 4 2 4 5 4 5 2 2 4 3 1 2 028 3 28 27 6 6 5 6 3 2 3 2 4 5 3 5 4 2 2 2 3 3 029 3 24 26 5 6 3 7 3 4 3 2 3 5 1 3 4 2 4 2 1 6 030 3 35 24 4 6 2 5 3 5 3 2 5 5 3 2 2 2 2 3 2 1 With the 30 observations now in the data set, test the hypothesis that there are differences in Openness depending on whether the person’s home state is Michigan, California, or North Dakota (Home State = 3; see Column 5 above). Are people from Michigan more open than those from North Dakota? What about Californians versus North Dakotans?