a team of sociologists collected data on 12 prison inmates to see if there was a relationship between the
prison security level (maximum custody, close custody, medium custody, and minimum custody) and the
number of previous offenses committed by an inmate.
Maximum Close Medium Minimum
14 12 6 6
11 9 6 4
9 7 5 2
10 5 3 3
a. Do an ANOVA test to investigate the relationship between prison
security level and the number of offenses. In this test, we are seek-
ing to reject at the highest confidence level possible between the
99%, 95%, and 90%. (10 pts)
df Sum of Squares Mean Squares Fcalc Effect size
Between groups
Within groups
Total
b. What is your decision? What is the highest confidence level, if any
(99%, 95%, or 90%, etc.), at which can we say that prison security
level is correlated with the number of offenses? (5 pts)
d. Write your full conclusion for this test. Be sure to mention the
effect size (what does it mean?). If you did a Post-Hoc Test, you
should also use some of that information here. Be as specific as
possible. (5