The attention span of kindergarteners are measured in minutes.A teacher wants to see if there are differences in the attention span of kindergarteners at different times of day.Using a sample of five such children, their attention spans are measured at five different times throughout the day.Using the data in the table below and an alpha of 0.05, what is the appropriate conclusion? $$\begin{array} { l c c c c c }
& 9 \text { am } & 11 a m & \text { nown } & 1 p m & 3 p m \
\text { Child 1 } & 12 & 5 & 10 & 7 & 8 \
\text { Child 2 } & 10 & 6 & 9 & 8 & 12 \
\text { Child 3 } & 7 & 10 & 6 & 8 & 13 \
\text { Child 4 } & 11 & 8 & 5 & 4 & 10 \
\text { Child 5 } & 12 & 4 & 11 & 5 & 8
\end{array}$$
A)Fail to reject the null and conclude that attention spans differ at different times of day.
B)Reject the null and conclude that attention spans are the same between children.
C)Reject the null and conclude that attention spans are impacted by time of day and child.
D)Fail to reject the null and conclude that attention spans differ between children.
E)Fail to reject the null and conclude that attention spans are the same at different times of day.

Question

The attention span of kindergarteners are measured in minutes.A teacher wants to see if there are differences in the attention span of kindergarteners at different times of day.Using a sample of five such children, their attention spans are measured at five different times throughout the day.Using the data in the table below and an alpha of 0.05, what is the appropriate conclusion? $$\begin{array} { l c c c c c } 
& 9 \text { am } & 11 a m & \text { nown } & 1 p m & 3 p m \
\text { Child 1 } & 12 & 5 & 10 & 7 & 8 \
\text { Child 2 } & 10 & 6 & 9 & 8 & 12 \
\text { Child 3 } & 7 & 10 & 6 & 8 & 13 \
\text { Child 4 } & 11 & 8 & 5 & 4 & 10 \
\text { Child 5 } & 12 & 4 & 11 & 5 & 8
\end{array}$$
A)Fail to reject the null and conclude that attention spans differ at different times of day.
B)Reject the null and conclude that attention spans are the same between children.
C)Reject the null and conclude that attention spans are impacted by time of day and child.
D)Fail to reject the null and conclude that attention spans differ between children.
E)Fail to reject the null and conclude that attention spans are the same at different times of day.

Quizplus · Accepted Answer

The appropriate statistical test for this scenario is likely a repeated measures ANOVA, given the same subjects are measured across different conditions (times of day). Without conducting the actual statistical test here, the conclusion to "fail to reject the null" typically means there is not enough evidence to say there is a significant difference. Therefore, the conclusion would be that there's insufficient evidence to say attention spans differ at different times of day, aligning with choice E.

The Attention Span of Kindergarteners Are Measured in Minutes A)Fail to Reject the Null and Conclude That Attention Spans