The Following Data Were Generated from a Matched Pairs Experiment

question 41

Essay

The following data were generated from a matched pairs experiment: $$\begin{array} { | l | l | l | l | l | l | l | l | } \hline \text { Pair: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Sample 1: } & 8 & 15 & 7 & 9 & 10 & 13 & 11 \\\hline \text { Sample 2: } & 12 & 18 & 8 & 9 & 12 & 11 & 10 \\\hline\end{array}$$ Determine whether these data are sufficient to infer at the 10% significance level that the two population means differ.

---

Definitions:

Left Hand

The non-dominant hand for the majority of people, controlled by the right hemisphere of the brain, often associated with tasks requiring spatial and nonverbal processes.

Percentage

A mathematical term expressing a number or ratio as a fraction of 100, used to compare proportions.

Aphasic

Pertaining to aphasia, a condition characterized by the loss of the ability to understand or express speech, caused by brain damage.

Apraxic

Refers to the impairment in the ability to perform movements or gestures, despite having the physical ability to do so, usually due to brain damage.