Solve the Problem Consider These Players to Be a Population of Interest

question 40

Short Answer

Solve the problem.
-The weights of five players on a football team are shown below. $\begin{array}{r|ccccc}\text { Player } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Weight (lb) } & 290 & 310 & 250 & 255 & 220\end{array}$

Consider these players to be a population of interest. The table below shows all of the possible samples of size three. For each sample, the players in the sample, their weights, and the sample mean are listed. Use the table to find the mean of the variable $\bar { x }$ .
$\begin{array}{l|l|l}\text { Sample } &{\text { Weights }} & {\overline{\mathrm{x}}} \\\hline \text { A, B, C } & 290,310,250 & 283 . \overline{3} \\\text { A, B, D } & 290,310,255 & 285 \\\text { A, B, E } & 290,310220 & 273 . \overline{3} \\\text { A, C, D } & 290,250,255 & 265 \\\text { A, C, E } & 290,250,220 & 253 . \overline{3} \\\text { A, D, E } & 290,255,220 & 255 \\\text { B, C, D } & 310,250,255 & 271 . \overline{6} \\\text { B, C, E } & 310,250,220 & 260 \\\text { B, D, E } & 310,255,220 & 261 . \overline{6} \\\text { C, D, E } & 250,255,220 & 241 . \overline{6}\end{array}$

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Definitions:

Glomerulonephritis

Inflammation of the glomeruli, which are tiny structures within the kidneys that filter blood, potentially leading to kidney failure.

Cystitis

An inflammation of the bladder, often due to infection, that causes discomfort and a frequent, urgent need to urinate.

Nephritis

An inflammation of the kidneys that can impact their function, often caused by infection, autoimmune diseases, or toxins.

ESRD

End-Stage Renal Disease is the final stage of chronic kidney disease, where the kidneys no longer function well enough to meet the needs of daily life without dialysis or a kidney transplant.