10
QuizMultiple Choice

Introduction to Sampling Distributions

Question 10 • NC-Math 4

A random sample of 40 seniors reveals that 10% of those sampled have assigned parking spaces in the high school’s main lot. This is surprising because, according to the main office of the large high school, 45% of seniors have assigned parking spaces in the high school’s main lot. Which of the following statements is true?

Answer
A
The population is all seniors and the sample is the 40 seniors who were randomly selected.
B
The population is the 40 seniors who were randomly selected and the sample is all seniors.
C
The population is all assigned parking spaces and the sample is the 4 seniors selected who have an assigned spot.
D
The population is the 4 seniors selected who have an assigned spot and the sample is all assigned parking spaces.

Explanation

The population is the entire group the study is trying to describe: all seniors at the high school. The sample is the smaller group actually surveyed, which is the 40 randomly selected seniors. Therefore, the true statement is that the population is all seniors and the sample is the 40 selected seniors.

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