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 observed $\chi$²? $$\begin{array} { l c c c c c } & 9 \text { am } & 11 a m & \text { nown } & 1 p m & 3 p m \ \text { Child 1 } & 12 & 5 & 10 & 7 & 8 \ \text { Child 2 } & 10 & 6 & 9 & 8 & 12 \ \text { Child 3 } & 7 & 10 & 6 & 8 & 13 \ \text { Child 4 } & 11 & 8 & 5 & 4 & 10 \ \text { Child 5 } & 12 & 4 & 11 & 5 & 8 \end{array}$$ A)8.11 B)7.21 C)12.00 D)8.96 E)9.50

Question

Quizplus · Accepted Answer

The observed $\chi^2$ statistic is calculated using the formula for the Friedman test, which is appropriate for repeated measures on the same subjects (in this case, the same children at different times of the day). The calculation involves ranking the attention spans for each time of day for each child, summing those ranks across children for each time of day, and then applying the Friedman test formula. The correct answer, 8.96, indicates the calculated value of the $\chi^2$ statistic based on the provided data and the steps of the Friedman test.

The Attention Span of Kindergarteners Are Measured in Minutes χ\chiχ 2

The Attention Span of Kindergarteners Are Measured in Minutes $\chi$ ²