In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the320 students in the class. After the exam,7 students from the class got together and petitioned to nullify the results on the grounds that the four versions were not equal in difficulty. To investigate the students' assertion, the professor examined the means and variances of the scores on the different versions of the exam, obtaining the following information (the exam had200possible points).

Group | Sample size | Sample mean |Sample variance

Verrsion A | 80 | 160.9 | 406.7

Version B | 80 |151.9 | 392.9

Version C | 80 |150.5 | 316.9

Version D | 80 | 153.3 | 544.6

(a)What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test?

(b)What is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA test?