Calculate the within-group sum of the squares


Assignment:

Q: 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?

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