5. A random sample of students was studied. Whether the student chose to sit in

Question

5. A random sample of students was studied. Whether the student chose to sit in the front, middle, or back row in a college class was recorded, along with the person’s GPA. The results of an ANOVA gave F=7.47 and p=.003. a. Would it make sense to do a post-hoc procedure in this case? b. Assuming it does, the Tukey tests give the following results Treatments pair Tukey HSD Q statistic Tukey HSD p-value Tukey HSD inferfence Front vs Middle 4.2624 0.0148325 * p<0.05 Front vs Back 5.0778 0.0035778 ** p<0.01 Middle vs Back 0.8154 0.8210868 insignificant If the mean GPA for those sitting in the front was 3.44, the mean GPA for those sitting in the middle was 2.91, and the mean GPA for those sitting in the back was 2.81; what is the conclusion?

Explanation / Answer

a)

since p-value is < 0.05 (level of significance)

the difference is significant

hence it would make sense to do post hoc procedure

b)

the difference between front and middle is significant at alpha = 0.05

the difference between front and back is significant at alpha = 0.01

the difference between back and middle is not significant

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