Question
Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.
The builders were chosen at random.
The population included only builders who build in Vicki’s town.
The population included builders who build homes in any town.
The population included builders who do not build homes in Vicki’s town.
The builders were referred to Vicki by the realtor who will be selling the houses.
The builders were chosen at random.
The population included only builders who build in Vicki’s town.
The population included builders who build homes in any town.
The population included builders who do not build homes in Vicki’s town.
The builders were referred to Vicki by the realtor who will be selling the houses.
Answers
GPT-4o mini
To ensure Vickie's sample of home builders is representative of the average cost of building a new home, the following two options should be selected:
1. **The builders were chosen at random.** - Random selection helps to minimize bias and ensures that every builder has an equal opportunity to be included in the sample, which increases the likelihood that the sample accurately reflects the population.
2. **The population included only builders who build in Vicki’s town.** - Since Vickie is interested in the average cost of building homes specifically in the town where she lives, it is essential that her sample only includes builders who operate in that location.
Choosing these options ensures that Vickie's sample is both relevant to her locality and unbiased.
1. **The builders were chosen at random.** - Random selection helps to minimize bias and ensures that every builder has an equal opportunity to be included in the sample, which increases the likelihood that the sample accurately reflects the population.
2. **The population included only builders who build in Vicki’s town.** - Since Vickie is interested in the average cost of building homes specifically in the town where she lives, it is essential that her sample only includes builders who operate in that location.
Choosing these options ensures that Vickie's sample is both relevant to her locality and unbiased.