Question

A development company is advertising that the mean area of the apartments in a new complex is 1,450 square feet. The complex consists of 10 buildings with a total of 1,000 apartments. A sample of 50 apartments will be selected from the complex to test the company's statement about the mean apartment area. Which of the following is an unbiased sampling method?

a. Select the first 50 apartments built.
b. Select the first 50 apartments that are occupied.
c. Select at random 50 top floor apartments from each of the buildings.
e. Select at random 50 apartments from all the apartments in the 10 buildings.

Answer 1

E) Select at random 50 apartments from all the apartments in the 10 buildings.

Step-by-step explanation:

Unbiased sampling is when each element has an equal chance of getting picked out of a sample population.

In this case, a random selection of 50 apartments from all the 10 buildings gives each apartment an equal probability to get selected while all other options introduce some sort of a bias. There fore the option that gives unbiased opportunity of selection is option E.

Hope that helps.