3
QuizMultiple Select

Comparing Box Plots — Unit test

Question 3 • Math 7 B (M12 25/26 S2)

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.

Answer
A
The builders were chosen at random.
B
The population included only builders who build in Vicki’s town.
C
The population included builders who build homes in any town.
D
The population included builders who do not build homes in Vicki’s town.
E
The builders were referred to Vicki by the realtor who will be selling the houses.

Explanation

A representative sample should be selected randomly and should come from the population the survey is meant to describe. Since Vickie sampled builders in her town, the population should include only builders who build in that town; including builders from other towns could make the sample unrepresentative. Therefore, the correct choices are that the builders were chosen at random and that the population included only builders in Vickie’s town.

AI-written and checked against the verified answer.

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