The Weights of Five Players on a Football Team Are

question 91

Essay

The weights of five players on a football team are shown below.

$$\begin{array} { r | r r r r r } \text { Player } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Weight (lb) } & 290 & 320 & 250 & 255 & 220\end{array}$$
Consider these five players to be a population. Construct a table which shows all of the possible samples of size two which can be selected without replacement. For each of the possible samples, list the players in the sample, their weights, and the sample mean $\bar { x }$ of the weights. The first line of the table is shown below. $$\begin{array} { c | c | c } \text { Sample } & \text { Weights } & \bar { x } \\\hline \mathrm { A } , \mathrm { B } & 290,320 & 305\end{array}$$
Use your table to find the mean of the sample means. Is this mean equal to the mean of the five given weights in the
population?

---

Definitions:

Quasi-Public Goods

Quasi-public goods are those that exhibit some characteristics of a public good such as non-excludability and non-rivalry but do not fully meet these criteria, often because they can be provided privately for a fee.

Optimal Amount

The quantity of production or consumption that maximizes efficiency or utility under given constraints.

Median Voter's Preference

A concept in political economy suggesting the outcome of a majority-vote decision process will most closely align with the preferences of the median voter.

Vote With Their Feet

The concept that people show their preferences or dissatisfaction with a situation by leaving an area or opting out of a system.