Chapter 11.8, Problem 18PPSE

Solution

To explain: The sampling method used in the survey and see if there exists any bias.

Systematic sampling is used as every tenth person on the subscriber list gets the survey by mail and asks for three leisure activities. Yes there is a possibility of bias in this sampling method.

Given:

A magazine publisher mails a survey to every ${10}^{th}$ person on the subscriber list and asks for three favourite leisure activities.

Concept used:

The systematic sampling method is a sampling method where subjects in the sample are selected at regular periodic intervals.

Explanation:

The magazine publishers mail a survey to every tenth person on the subscriber list; thus it is considered as systematic sampling. The people who receive the mail may or may not reply to the survey due to a lack of interest. Thus there exists a bias in the responses received using this sampling method.