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Chapter 1: Problem 43

State whether or not the sampling method described produces a random sample from the given population. The population is adults between the ages of 18 and 22. A sample of 100 students is collected from a local university, and each student at the university had an equal chance of being selected for the sample.

Short Answer

Expert verified
No, the described sampling method does not produce a random sample from the given population. This is because it only includes university students in the age range and fails to account for adults of the same age who are not enrolled in the university.

Step by step solution

01

Identify the Population

The population in question includes all adults between the ages of 18 and 22.
02

Evaluate the Sampling Technique

In the described sampling method, 100 students are selected from a university, each of whom has the same chance of being chosen. However, this method confines the sample to only university students, and not all adults between the ages of 18 and 22.
03

Determine if Sampling is Random

In random sampling, every member of the population must be given an equal chance to be selected. In our case, the sampling method does not ensure this because some adults aged 18 to 22 might not be attending the university. Hence, not every adult in this age range will have an opportunity to be part of the sample.

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