Exhibit 7-6: A group of researchers hypothesizes that listening to music while studying for an exam influences test scores.They randomly selected 28 subjects and divided them into four groups.All groups studied silently for a test for an hour a day for a week.Group 1 studied without music.Group 2 studied with classical music in the background, Group 3 with country, and Group 4 with jazz.The following are the final test scores:
$\begin{array}{l}
\begin{array}{lll}
\text { Group 1 } & \text { Group 2 } \
50 & 59 \
45 & 57 \
42 & 57 \
41 & 55 \
40 & 56 \
39 & 53 \
38 & 51
\end{array}
\begin{array}{lll}
\text { Group 3} & \text { Group 4 } \

60 & 49 \
56 & 45 \
56 & 45 \
55 & 42 \
54 & 41 \
51 & 39 \
50 & 37
\end{array}
\end{array}$

-Refer to Exhibit 7-6.What is the value for the chosen statistic?
A) .70
B) 28.589
C) 49.333
D) None of these are true.

Question

Exhibit 7-6: A group of researchers hypothesizes that listening to music while studying for an exam influences test scores.They randomly selected 28 subjects and divided them into four groups.All groups studied silently for a test for an hour a day for a week.Group 1 studied without music.Group 2 studied with classical music in the background, Group 3 with country, and Group 4 with jazz.The following are the final test scores:
 $\begin{array}{l}
\begin{array}{lll}
\text { Group 1 } & \text { Group 2 } \
50 & 59 \
45 & 57 \
42 & 57 \
41 & 55 \
40 & 56 \
39 & 53 \
38 & 51
\end{array}
\begin{array}{lll}
\text { Group 3} & \text { Group 4 } \

60 & 49 \
56 & 45 \
56 & 45 \
55 & 42 \
54 & 41 \
51 & 39 \
50 & 37
\end{array}
\end{array}$

-Refer to Exhibit 7-6.What is the value for the chosen statistic?
A) .70
B) 28.589
C) 49.333
D) None of these are true.

Quizplus · Accepted Answer

The value for the chosen statistic is 28.589. This is the value of the F-statistic, which is used to test the hypothesis that the means of the four groups are equal. The F-statistic is calculated by dividing the between-groups variance by the within-groups variance. In this case, the between-groups variance is 28.589 and the within-groups variance is 1.000. The F-statistic is therefore 28.589.

Exhibit 7-6: a Group of Researchers Hypothesizes That Listening to Music