The Weights of Five Players on a Football Team Are

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?