A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children.Three samples of children are selected with n = 5 in each sample.One group gets no sugar,one group gets a small dose,and the third group gets a large dose.The psychologist records the activity level for each child.The data from this experiment are presented below.
a. Do these data indicate any significant differences among the three groups? Test with α = .05.
b. Compute η², the percentage of variance accounted for by the treatment. $\begin{array}{l}\text { No Sugar Small Dose Large Dose }\\\begin{array} { l l l l } 5 & 3 & 6 & \\3 & 3 & 8 & \\1 & 7 & 5 & \mathrm { G } = 60 \\1 & 4 & 2 & \sum \mathrm { X } ^ { 2 } = 298 \\5 & 3 & 4 \\\mathrm {~T} = 15 & \mathrm {~T} = 20 & \mathrm {~T} = 25 \\\mathrm { SS } = 16 & \mathrm { SS } = 12 & \mathrm { SS } = 20\end{array}\end{array}$

Question

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children.Three samples of children are selected with n = 5 in each sample.One group gets no sugar,one group gets a small dose,and the third group gets a large dose.The psychologist records the activity level for each child.The data from this experiment are presented below.
a. Do these data indicate any significant differences among the three groups? Test with α = .05.
b. Compute η², the percentage of variance accounted for by the treatment.

\begin{array}{l}\text { No Sugar Small Dose Large Dose }\\\begin{array} { l l l l } 5 & 3 & 6 & \\3 & 3 & 8 & \\1 & 7 & 5 & \mathrm { G } = 60 \\1 & 4 & 2 & \sum \mathrm { X } ^ { 2 } = 298 \\5 & 3 & 4 \\\mathrm {~T} = 15 & \mathrm {~T} = 20 & \mathrm {~T} = 25 \\\mathrm { SS } = 16 & \mathrm { SS } = 12 & \mathrm { SS } = 20\end{array}\end{array}

Quizplus · Accepted Answer

The Answer of A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children.Three samples of children are selected with n = 5 in each sample.One group gets no sugar,one group gets a small dose,and the third group gets a large dose.The psychologist records the activity level for each child.The data from this experiment are presented below. a. Do these data indicate any significant differences among the three groups? Test with α = .05. b. Compute η², the percentage of variance accounted for by the treatment. $$\begin{array}{l} \text { No Sugar Small Dose Large Dose }\ \begin{array} { l l l l } 5 & 3 & 6 & \ 3 & 3 & 8 & \ 1 & 7 & 5 & \mathrm { G } = 60 \ 1 & 4 & 2 & \sum \mathrm { X } ^ { 2 } = 298 \ 5 & 3 & 4 \ \mathrm {~T} = 15 & \mathrm {~T} = 20 & \mathrm {~T} = 25 \ \mathrm { SS } = 16 & \mathrm { SS } = 12 & \mathrm { SS } = 20 \end{array} \end{array}$$

A Psychologist Would Like to Examine the Effects of Sugar