Exhibit 7-7: A group of curriculum designers has developed a new system for teaching phonics to young children.They randomly selected 24 kindergarten students to receive either the old phonics method or the new phonics method.The designers realized that kindergartens have morning and afternoon classes, so they wanted to build this factor into the research design.The following is the mean, standard deviation, and number for each group.
$ \begin{array}{lll}\text { Morning } & {\text { Old }}{} & {\text { New }}{} \ & 16.33 & 13.50 \ &1.03 & 2.74 \& 6 & 6 \ \text { Afternoon } & 13.17 & 16.83 \ & 3.55 & 2.14 \ & 6 & 6\end{array} $
The following is an incomplete summary table of the analysis of variance:
$\begin{array}{ll}
\underline { \text { Source }} & \underline { \text { SS }} & \underline { \text { df }} & \underline { \text { MS}} & \underline { \text { F}}\
\text { Time of Day } & 0.042 \
\text { Lesson Design } & 1.042 \
\text { Interaction }\
\text { Error } & 128.500 \
\text { Total } & 102950
\end{array}$
-Refer to Exhibit 7-7.What is the mean square for Time of Day?
A) .042
B) 1.042
C) 63.375
D) None of these are true.

Question

Exhibit 7-7: A group of curriculum designers has developed a new system for teaching phonics to young children.They randomly selected 24 kindergarten students to receive either the old phonics method or the new phonics method.The designers realized that kindergartens have morning and afternoon classes, so they wanted to build this factor into the research design.The following is the mean, standard deviation, and number for each group.
$ \begin{array}{lll}\text { Morning } & {\text { Old }}{} & {\text { New }}{} \ & 16.33 & 13.50 \ &1.03 & 2.74 \& 6 & 6 \ \text { Afternoon } & 13.17 & 16.83 \ & 3.55 & 2.14 \ & 6 & 6\end{array} $
The following is an incomplete summary table of the analysis of variance:
 $\begin{array}{ll}
\underline { \text { Source }} & \underline { \text { SS }} & \underline { \text { df }} & \underline { \text {  MS}} & \underline { \text {   F}}\
\text { Time of Day } & 0.042 \
\text { Lesson Design } & 1.042 \
\text { Interaction }\
\text { Error } & 128.500 \
\text { Total } & 102950
\end{array}$
-Refer to Exhibit 7-7.What is the mean square for Time of Day?
A) .042
B) 1.042
C) 63.375
D) None of these are true.

Quizplus · Accepted Answer

The mean square for Time of Day can be found by dividing the sum of squares for Time of Day by its degrees of freedom. However, the degrees of freedom for Time of Day are not given in the table. Therefore, we can assume that the degrees of freedom for Time of Day are 1 (since there are 2 levels of the factor: morning and afternoon). Thus, the mean square for Time of Day is 0.042 (which is the sum of squares for Time of Day divided by its degrees of freedom).

Exhibit 7-7: a Group of Curriculum Designers Has Developed a New