Chapter 12, Problem 21E

(a)

To determine

To find out what kind of sample is this.

Answer to Problem 21E

It is a systematic sampling method.

Explanation of Solution

In the question it is given that an amusement park has opened a new roller coaster. It is so popular that people are waiting for up to three hours for a two-minute ride. Concerned about how patrons feel so they survey every tenth person on the line for the roller coaster starting from a randomly selected individual. Thus, the kind of sampling used in this survey is systematic sampling as there is a system of choosing a random sample to survey the people.

(b)

To determine

To find out what is the sampling frame.

Answer to Problem 21E

Every tenth person in line for the roller coaster.

Explanation of Solution

In the question it is given that an amusement park has opened a new roller coaster. It is so popular that people are waiting for up to three hours for a two-minute ride. Concerned about how patrons feel so they survey every tenth person on the line for the roller coaster starting from a randomly selected individual. Thus, the sampling frame for this survey will be every tenth person in line for the roller coaster.

(c)

To determine

To explain is it likely to be representative.

Answer to Problem 21E

No, it is not representative.

Explanation of Solution

In the question it is given that an amusement park has opened a new roller coaster. It is so popular that people are waiting for up to three hours for a two-minute ride. Concerned about how patrons feel so they survey every tenth person on the line for the roller coaster starting from a randomly selected individual. No, it is not likely to be representative because the sample is only of those who are in line for the roller coaster. They need to also sample guests who are not in line for the roller coaster. This represents selection bias.