Question

question #20
each of the 29 nba teams has 12 players. a sample of players is to be chosen as follows. ten teams will be randomly selected and every player on each team will be selected.
which of the following sampling techniques is being used in this situation?
systematic sample
simple random sample
cluster sample
stratified sample

Explanation:

• Systematic Sample: Involves selecting elements at regular intervals from an ordered population. This is not the case here as teams are randomly selected, not players at intervals.
• Simple Random Sample: Every individual in the population has an equal chance of being selected directly. Here, teams are selected first, not individual players, so it's not a simple random sample of players.
• Cluster Sample: The population is divided into clusters (here, teams are clusters). Some clusters (10 teams) are randomly selected, and all elements within the selected clusters (all players on the 10 teams) are included in the sample. This matches the described sampling method.
• Stratified Sample: The population is divided into strata (sub - groups) and a random sample is taken from each stratum. In this problem, we are not taking a sample from each team (stratum), but rather taking all players from some teams.

Answer:

Cluster Sample