Solve the Problem Consider These Board Members to Be a Population of Interest

question 10

Short Answer

Solve the problem.
-The ages of six members on a board of directors of a nonprofit organization are shown
below. $\begin{array}{r|rrrrrr}\text { Member } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline \text { Age } & 42 & 60 & 68 & 62 & 66 & 43\end{array}$
Consider these board members to be a population of interest. The table below shows all of the possible samples of size two. For each sample, the people in the sample, their ages, and the sample mean are listed. Use the table to find the mean of the variable $\bar { x }$ .
$\begin{array}{c|c|c}\text { Sample } & \text { Ages } & \bar{x} \\\hline \text { A, B } & 42,60 & 51 \\\text { A, C } & 42,68 & 55 \\\text { A, D } & 42,62 & 52 \\\text { A, E } & 42,66 & 54 \\\text { A, F } & 42,43 & 42.5 \\\text { B, C } & 60,68 & 64 \\\text { B, D } & 60,62 & 61 \\\text { B, E } & 60,66 & 63 \\\text { B, F } & 60,43 & 51.5 \\\text { C, D } & 68,62 & 65 \\\text { C, E } & 68,66 & 67 \\\text { C, F } & 68,43 & 55.5 \\\text { D, E } & 62,66 & 64 \\\text { D, F } & 62,43 & 52.5 \\\text { E, F } & 66,43 & 54.5\end{array}$

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Definitions:

Visual Field

The total area in which objects can be seen in the peripheral vision while the eyes are focused on a central point.

Association Area

Regions of the brain that combine and process information from various other parts of the brain to carry out complex functions.

Cerebral Cortex

The outer layer of brain tissue, crucial for complex cognitive functions such as thought, memory, consciousness, and language.

Prefrontal Cortex

The front part of the frontal lobe of the brain, key in decision making, social behavior, and personality expression.