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A state investigator is going to take a random sample of 100 registered cars to

ID: 3126488 • Letter: A

Question

A state investigator is going to take a random sample of 100 registered cars to conduct an emissions test audit. From state records the investigator knows that the age of cars registered in the state is strongly skewed to the right with an average of 9 years. The investigator realizes that the average age of cars in his sample may vary. Which of the following is more likely?

a. He takes a sample and the average age is between 3 and 7 years.

b. He takes a sample and the average age is between 7 and 11 year.

c. He takes a sample and the average age is between 11 and 15 years.

d. He takes a sample and the average age is between 15 and 19 years.

Explanation / Answer

The investigator realizes that the average age of cars in his sample may vary. Which of the following is more likely?

b. He takes a sample and the average age is between 7 and 11 year.

Why?

because the average age will be more likely if the sample is between age close to the average age

in this case 7 and 11 are most closest to 9 that the others options

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