91Ó°ÊÓ

The Mozart effect refers to a boost of average performance on tests for elementary school students if the students listen to Mozart's chamber music for a period of time immediately before the test. In order to attempt to test whether the Mozart effect actually exists, an elementary school teacher conducted an experiment by dividing her third-grade class of 15 students into three groups of 5 . The first group was given an end-of-grade test without music; the second group listened to Mozart's chamber music for 10 minutes; and the third groups listened to Mozart's chamber music for 20 minutes before the test. The scores of the 15 students are given below: $$ \begin{array}{|c|c|c|} \hline \text { Group 1 } & \text { Group 2 } & \text { Group 3 } \\ \hline 80 & 79 & 73 \\ \hline 63 & 73 & 82 \\ \hline 74 & 74 & 79 \\ \hline 71 & 77 & 82 \\ \hline 70 & 81 & 84 \\ \hline \end{array} $$ Using the ANOVA F-test at \(\alpha=0.10\), is there sufficient evidence in the data to suggest that the Mozart effect exists?