A criminal justice researcher is interested in studying the relationship between the religious affiliation of offenders and sentence (in years) handed out. Here is the data she is working with:
Catholics Protestants Jews Muslims
10 10 12 12
16 10 12 12
16 16 16 10
12 13 16 12
12 13 18 13
13 12 13 16
14 12 13 13
12 18 11 13
12 11 12 11
12 12 14 12
A) Calculate the total sum of squares.
B) Calculate the within-group sum of the squares.
C) Calculate the between-group sum of squares.
D) Calculate the mean square between groups (M S between)
E) Calculate the mean square within groups (M S w i t h i n )
F) Calculate the F ratio
G) Are your results statistically significant, and if so, at what level?
H) What are your conclusions about the null hypothesis?