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Each of 38 soccer teams has 14 players. A sample of 76 players is to be chosen a

ID: 3201659 • Letter: E

Question

Each of 38 soccer teams has 14 players. A sample of 76 players is to be chosen as follows. Each team will be asked to place 14 cards with their players' names into a hat and randomly draw out two names. The two names from each team will be combined to make up the sample. Will this method result in a simple random sample of the 532 soccer players? No, because the players are not chosen randomly. Yes, because each player has the same chance of being selected. Yes, because each team is equally represented. No, because not every group of 76 players has the same chance of being selected.

Explanation / Answer

Answer is b) Yes because each player has the same chance of being selected i the sample. In Simple Random every possible team of the given size has to be equally likely to be selected

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