Question

The manager of a sports arena wants to learn more about the financial status of the people who are attending an NBA basketball game. He would like to give a survey to a representative sample of the more than $20,000$fans in attendance. Ticket prices for the game vary a great deal: seats near the court cost over $\backslash (100$each, while seats in the top rows of the arena cost $\backslash )25$each. The arena is divided into $30$numbered sections, from $101$to $130$Each section has rows of seats labeled with letters from A (nearest the court) to ZZ (top row of the arena).

Explain why it might be difficult to give the survey to an SRS of $200$ fans.

Short answer

It would take time to visit $200$ different sites within the arena.

Step-by-step solution

Given information

Ticket prices for the game range from over $\$100$ for tickets close to the court to $\$25$ for seats in the top rows of the arena. The arena is divided into $30$ sections, numbered 101 through $130$

Concept

Divide the population into smaller groups before taking a cluster sample. These groups should ideally reflect the population's features. Then pick one of the clusters' SRS. The sample includes all individuals in the designated clusters.

Explanation

Giving this survey to an SRS of $200$ fans could be tough because you would need to locate $200$ separate seats, go to seats in the stadium, and find out who is seated. It would take time to visit $200$ different sites within the arena.