We wish to determine whether the homicide rate is different in different parts of the country and, if it is different, what is the pattern. We have data on 36 states - 9 each in the four regions Northeast, Midwest, South and West.
Region Homicide rate
Northeast 3.23
Midwest 5.01
South 7.23
West 5.03
An analysis of variance produced the following partial ANOVA table:
Source SS
Between groups 72.40
Within groups 152.11
TOTAL 224.51
Complete the ANOVA table. Show that at 5% we reject the null. Use the Tukey HSD procedure [at 5% level] to determine which means are statistically different from which other of the means. What are your final conclusions?