Question

a researcher wants to test the conditioning of basketball players in a league consisting of teams numbered 1 through 15. each team has 12 active players. the researcher wants to test 36 players using cluster sampling. if the researcher generates the random numbers 8, 15, 15, 10, 4, and 4, which players will be included in the sample? the players from team(s) will be included in the sample. (type a whole number. use a comma to separate answers as needed.)

Explanation:

Step1: Calculate number of players per team

The league consists of teams numbered 1 - 15 and each team has 12 active players.

Step2: Determine sample size and sampling method

The researcher wants to test 36 players using cluster - sampling. Since each team has 12 players, the number of teams to be included in the sample is $\frac{36}{12}=3$.

Step3: Identify teams from random numbers

The random numbers are 8, 15, 15, 10, 4, 4. We ignore the repeated numbers. The unique non - repeated numbers within the range of 1 - 15 are 4, 8, 10, 15. We need 3 teams, so the teams are 4, 8, 10.

Answer:

4, 8, 10