11. A researcher wants to know whether the need for mental health care among prisoners varies according to the different types of prison facilities. The researcher randomly selects 40 prisoners from each of the three main types of prisons in a particular Canadian province and conducts exams to determine their need for mental health care. In the article describing the results, the researcher reported the means for each group and then added: “The need for mental health care among prisoners in the three types of prison systems appeared to be clearly different, F12, 1172 = 5.62, p 6 .01. A planned comparison [contrast] of System 1 to System 2 was significant, F11, 1172 = 4.03, p 6 .05.” Explain this result to a person who has never had a course in statistics.