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An Experiment Was Conducted to Compare the Effects of Four

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An experiment was conducted to compare the effects of four types of classroom layout on children's learning outcomes. Score on a pretest is used to form the blocks (low, middle, high). The mean scores on the dependent variable, children's score on a posttest quiz, are listed here for each cell.

 Pretest score block  Type of classroom layout  low  middle  high 16575902808595370808547585100\begin{array}{r}\underline { \quad\text { Pretest score block }\quad}\\\begin{array}{cccc}\text { Type of classroom layout }& \text { low } & \text { middle } & \text { high } \\\hline 1 & 65 & 75 & 90 \\2 & 80 & 85 & 95 \\3 & 70 & 80 & 85 \\4 & 75 & 85 & 100 \\\hline\end{array}\end{array}
Use these cell means to graph the interaction between type of classroom layout and pretest score block.
a. Is there an interaction between type of classroom layout and pretest score?
b. What kind of recommendation would you make to teachers?

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The profile plot of cell means is shown ...

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