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

question 31

Short Answer

Solve the problem.
-The ages of six members on a board of directors of a nonprofit organization are shown
below. $\begin{array}{r|rrrrrr}\text { Member } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline \text { Age } & 29 & 49 & 47 & 29 & 63 & 32\end{array}$
Consider these board members to be a population of interest. The table below shows all of the possible samples of size five. 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 $\bar { x }$ .
$\begin{array}{c|c|c}\text { Sample } & \text { Ages } & \bar{x} \\\hline \text { A, B, C, D, E } & 29,49,47,29,63 & 43.4 \\\text { A, B, C, D, F } & 29,49,47,29,32 & 37.2 \\\text { A, B, C, E, F } & 29,49,47,63,32 & 44 \\\text { A, B, D, E, F } & 29,49,29,63,32 & 40.4 \\\text { A, C, D, E, F } & 29,47,29,63,32 & 40 \\\text { B, C, D, E, F } & 49,47,29,63,32 & 44\end{array}$

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Definitions:

Energy

The capacity to do work; expressed in kilojoules or kilocalories.

Irreplaceable

Something that cannot be replaced or substituted because of its unique qualities or significance.

Free Energy Change

A measure in thermodynamics indicating the amount of energy in a system that is available for work during a chemical reaction.

Endergonic Reactions

Chemical reactions that absorb energy from their surroundings, typically requiring an input of energy to proceed.