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Chapter 4: Q 2.1. (page 219)

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 20,000fans in attendance. Ticket prices for the game vary a great deal: seats near the court cost over \(100each, while seats in the top rows of the arena cost \)25each. The arena is divided into 30numbered sections, from 101to 130Each 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

Expert verified

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

Step by step solution

01

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

02

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.

03

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.

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