Questions: Major League Baseball tests players to see whether they are using performance-enhancing drugs. Officials select a team at random, and a drug-testing crew shows up unannounced to test all 26 players on the team. Each testing day can be considered a study of drug use. Complete parts a and b.
a) What kind of sample is this?
A systematic sample
A simple random sample
A cluster sample
A voluntary response sample
A multistage sample
A stratified random sample
A convenience sample
Transcript text: Major League Baseball tests players to see whether they are using performance-enhancing drugs. Officials select a team at random, and a drug-testing crew shows up unannounced to test all 26 players on the team. Each testing day can be considered a study of drug use. Complete parts a and b.
a) What kind of sample is this?
A systematic sample
A simple random sample
A cluster sample
A voluntary response sample
A multistage sample
A stratified random sample
A convenience sample
Solution
Solution Steps
To determine the type of sample, we need to analyze how the sample is selected. In this scenario, an entire team is selected at random, and all players on that team are tested. This is characteristic of a cluster sample, where a whole group (or cluster) is chosen randomly, and all members of that group are included in the sample.
Step 1: Identify the Sampling Method
In this scenario, a team is selected at random, and all 26 players on that team are tested for performance-enhancing drugs. This method involves selecting a whole group (or cluster) and including all its members in the sample.
Step 2: Classify the Sample Type
Given that the entire team is chosen as a single unit and all players are tested, this sampling method is classified as a cluster sample.
Final Answer
The answer is a cluster sample, so we have \\(\boxed{\text{cluster sample}}\\).