Complete question is;
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:
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.
Answer:
Options A & B are correct.
A) The builders were chosen at random.
B) The population included only builders who build in Vicki’s town.
Explanation:
Looking at the question, we see that Vickie wanted to determine the cost of building a new home in the town in which she lived. Now, she sampled builders who are building in the town in which she lives and thus, it makes the sample more representative.
However, the random method of choosing the builders would help to remove any lingering biases that may arise.
Thus, we can conclude that the builders were chosen at random and that it included only those who build in her town.
Thus, options A & B are correct.