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The Weights of Five Players on a Football Team Are

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The weights of five players on a football team are shown below.  Player  A  B  C  D  E  Weight (lb) 290310250255220\begin{array}{r|ccccr} \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 mean weight, μ\mu , for the population is 265 pounds. Construct a table that shows all of the possible samples of size four. For each of the possible samples, list the players in the sample, their weights, and the sample mean. The first line of the table is shown below.  Sample  Weights xˉ A, B, C, D 290,310,250,255276.25\begin{array}{r|c|c} \text { Sample } & \text { Weights } & \bar{x} \\ \hline \text { A, B, C, D } & 290,310,250,255 & 276.25 \end{array}
Use your table to find the probability that, for a random sample of size four, the sample mean will be within 10 lb of the population mean.

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