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).

Short answer

The arena has been divided in to numbers from $101$to $130$

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

The greatest solution is to build strata with people who share similar characteristics. Because there is a similar distance between the lettered and the same ticket price, choosing the lettered row as the strata would be the best option. As a result, the optimal method is to choose letters with similar distances and prices.