Information Regarding the ACT Scores of Samples of Students in Three

Essay

Information regarding the ACT scores of samples of students in three different majors is given below.
Major
$$\begin{array} { c c r } &\text { Management } & \text { Finance } & \text { Accounting } \\&28 & 22 & 29 \\&26 & 23 & 27 \\&25 & 24 & 26 \\&27 & 22 & 28 \\&21 & 24 & 25 \\&19 & 26 & 26 \\&27 & 27 & 28 \\&17 & 29 & 20 \\&17 & 28 & 20 \\&23 & & 24 \\&& & 28 \\&& & 28 \\&&&29\\\\\text { Sums}&230 & 225 & 338 \\\text { Means}&23 & 25 & 26 \\ \text { Variances}&18 & 6.75 & 933\end{array}$$
a. Set up the ANOVA table for this problem.
b. At 95% confidence test to determine whether there is a significant difference in the means of the three populations.