Question

Terrence would like to estimate the mean the number of books students at his school read during the summer. There are 595 students at his school.

Which statements are true?

Select each correct answer.

A. To estimate the mean using a sample, Terrance will need to randomly select the students he will survey so that the sample represents the population well.

B. The mean can only be estimated by surveying all 595 students.

C. The larger the number of students Terrance surveys, the better his estimate of the mean will be.

D. If Terrance collects a sample of students in the library reading, and surveys them, he can use that data to estimate the mean of the number of books read by all students.

Answer 1

C is the correct answer, which is the larger the number of students Terrance surveys, better his estimate of the mean will be

Answer 2

Answer: A. To estimate the mean using a sample, Terrance will need to randomly select the students he will survey so that the sample represents the population well.

C. The larger the number of students Terrance surveys, the better his estimate of the mean will be.

Explanation:

Given: The total number of students in the school = 595

If he survey all the 595 students then he wioll get the exact mean

But we want to estimate , therefore, he can estimate the mean using a sample, Terrance will need to randomly select the students he will survey so that the sample represents the population well.

He can also survey larger the number of students , the better will be the estimate of the mean will be.