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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Information Regarding the ACT Scores of Samples of Students in Four