Example 2
Pearce wants to conduct a survey of shoppers at the local mall. He obtains a list of the major stores, restaurants, and other establishments and creates the following table that includes each destination’s name, location (zone), category, and category rank. The category rank represents where the mall destination falls in a list of all the establishments in the same category; for example, Aéropostale is second in the list of clothing stores, so its category rank is 2.
Use the table and two methods to choose a cluster sample of 5 establishments at which Pearce can interview shoppers.
- Method 1: Give each zone an equal chance of selection.
- Method 2: Give each establishment an equal chance of selection.
Method 1: Give each zone an equal chance of selection.
- Number the zones.
- Select a zone of the mall.
- Label the businesses in the chosen zone.
- Randomly select 5 of the establishments in the selected zone.
- Label each establishment.
- Randomly select a number from 1 to 75.
- Since this is a cluster sample, choose 4 other establishments in the same zone.
- Randomly select 4 other establishments in Zone D.