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2. [25 pts] Information regarding the ACT scores of samples of students in three different majors is given below. Major Management Finance Accounting Sample size 12 19 12 Average 24 25 26 Sample variance 18 10 a) [5 pts] Compute the overall sample mean . b) [5 pts] Set up the ANOVA table for this problem including the test statistic. c) [5 pts] Using a = .01, determine the critical value of F. d) [5 pts] Using the critical value approach, test to determine whether there is a significant difference in the means of the three populations. e) [5 pts] Determine the p-value and use it for the test