Dr Guinea Pigg Would Like to Test If the Amount

Essay

Dr. Guinea Pigg would like to test if the amount of caffeine intake would affect how well laboratory rats performed on a specific task. He randomly assigned 40 rats to five groups (n = 8). Each rat walked the same maze after drinking caffeinated water. The amount of caffeine the rats took and the number of mistakes they made in walking the maze were recorded in the following table.

$\begin{array}{crrrrr}\text { Dosage } & 10 \mathrm{mg} & 20 \mathrm{mg} & 30 \mathrm{mg} & 40 \mathrm{mg} & 50 \mathrm{mg} \\\hline & 16 & 16 & 2 & 5 & 7 \\& 5 & 10 & 9 & 8 & 12 \\& 11 & 7 & 11 & 1 & 14 \\\text { Number of } & 23 & 12 & 13 & 5 & 16 \\\text { mistakes } & 18 & 7 & 10 & 8 & 11 \\& 12 & 4 & 13 & 11 & 9 \\& 12 & 23 & 9 & 9 & 19 \\& 19 & 13 & 9 & 9 & 24 \\\hline\end{array}$
Using the data, conduct a trend analysis to test if there is any linear, quadratic, or cubic trend ( $\alpha$ = .05).