Information Regarding the ACT Scores of Samples of Students in Four

Essay

Information regarding the ACT scores of samples of students in four different majors is given below.
$$\begin{array} { c c c c } &&\text { Majors }&\\&\text { Management } & \text { Marketing } & \text { Finance } & \text { Accounting } \\&29 & 22 & 29 & 28 \\&27 & 22 & 27 & 26 \\&21 & 25 & 27 & 25 \\&28 & 26 & 28 & 20 \\&22 & 27 & 24 & 21 \\&28 & 20 & 20 & 19 \\&28 & 23 & 20 & 27 \\&23 & 25 & 30 & 24 \\&28 & 27 & 29 & 21 \\&24 & 28 & & 23 \\&29 & & & 27 \\&31 & & & 27 \\&& & & 24 \\\\\text { Sums}&318 & 245 & 234 & 312 \\\text { Means}&26.50 & 24.50 & 26.00 & 24.00 \\\text { Variances }&10.09 & 6.94 & 14.50 & 9.00\end{array}$$
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.