College

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. The times follow the Normal distribution with a mean of 529.9 minutes and a standard deviation of 135.6 minutes. An SRS of 100 of the participants has a mean time of [tex]\overline{x} = 514.4[/tex] minutes. A second SRS of size 100 has a mean of [tex]\overline{x} = 539.3[/tex] minutes. After many SRSs, the values of the sample mean [tex]\overline{x}[/tex] follow the Normal distribution with a mean of 529.9 minutes and a standard deviation of 13.56 minutes. What is the population?

A. The population is 135.6 million respondents to the American Time Use Survey.
B. The population is the 100 participants in the SRS.
C. The population is the 10,900 respondents to the American Time Use Survey.
D. The population is all Americans who sleep through the night.

Answer :

The population of the 2015 American Time Use survey data is the 10,900 respondents to the survey, which is the full set of data collected for making inferences about.

The population in a statistical context refers to the entire group of individuals or observations about which one seeks to make conclusions. In the case of the question regarding the 2015 American Time Use survey data, the population is 10,900 respondents to the American Time Use Survey (Option C). This is because the 10,900 respondents represent the full set of data collected by the survey, which is the group we want to draw conclusions about. An SRS (Simple Random Sample) is a subset of this population, used to make inferences about the overall population.