The accounting firm of Senese and Associates has grown. To make sure their clients are still satisfied with the services they are receiving, the company decides to send a survey out to a simple random sample of 5 of its 30 clients.

Approach

Step 1 The clients must be listed (the frame) and numbered from 01 to 30.

Step 2 Five unique numbers will be randomly selected. The clients corresponding to the numbers are sent a survey. This process is called sampling without replacement.

In a sample without replacement, an individual who is selected is removed from the population and cannot be chosen again. In a sample with replacement, a selected individual is placed back into the population and could be chosen a second time. We use sampling without replacement so that we don’t select the same client twice.