Answer :
Answer: .C. The population is the 10,900 respondents to the American Time Use Survey.
Step-by-step explanation:
In statistics , Population is refer to a large group of individuals or observations that have same characteristics.
A sample is a subset drawn from it.
We are given that "The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get. An SRS (simple random sample) of 100 of the participants has a mean time of x¯=514.4 minutes. "
i.e. The population is 10,900 respondents to the American Time Use Survey.
The correct answer is C. The population is the 10,900 respondents to the American Time Use Survey.
The population in statistical terms refers to the entire group of individuals or observations that one is interested in studying or making inferences about. In this context, the population consists of the 10,900 survey participants who were part of the 2015 American Time Use survey. These participants provide the data on the minutes of sleep per night, and their times are known to follow a Normal distribution with a given mean and standard deviation.
Option A is incorrect because the population size is not 135.6 million; this figure represents the standard deviation of the sleep times in minutes, not the number of respondents.
Option B is incorrect because it confuses the sample size with the population. Each SRS (Simple Random Sample) of 100 participants is a subset of the population, not the population itself.
Option D is too broad and vague to be the correct answer in this context. While the survey may be designed to make inferences about all Americans who sleep through the night, the actual data collected is from a specific set of 10,900 respondents, which is the population for this particular study.
Therefore, the population in question is the 10,900 respondents to the American Time Use Survey, which matches option C.
