part 1. Each of the 20 English Premier League teams have a match day squad of 18

Question

part 1. Each of the 20 English Premier League teams have a match day squad of 18 players. A sample of 40 players is to be chosen. Each team is asked to put the 18 players' names into a bag and randomly draw out two names. The two names from each team are then combined to make up the sample. Does this method result in a simple random sample of the 360 footballers?

a. Yes, because each player has the same chance of being selected.

b. Yes, because each team is equally represented.

c. Yes, because there are squads of players used, not just the first choice 11.

d. No, because not every group of 40 players has the same chance of being selected.

part 2. To survey the opinions of football fans at Newcastle United’s St. James’ Park ground, you and your team of researchers plan to select every hundredth fan entering the stadium via the East Stand turnstiles at the next home match. Is this a simple random sample?

a. Yes, because each fan has the same chance of being selected.

b. Yes, because the 99 out of 100 fans who are not selected will form a control group.

c. Yes, this is an elaborate form of simple random sample.

d. No, because not every sample of the intended size has an equal chance of being selected.

Explanation / Answer

Part 1.

b. Yes, because each team is equally represented.

Part 2.

d. No, because not every sample of the intended size has an equal chance of being selected.

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