Question

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 mean 529.9 minutes and standard deviation 135.6 minutes. An SRS of 100 of the participants has a mean time of x¯=514.4 minutes. A second SRS of size 100 has mean x¯=539.3 minutes. After many SRSs, the values of the sample mean x¯ follow the Normal distribution with mean 529.9 minutes and standard deviation 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 1

The population is the 10,900 respondents to the American Time Use Survey.

Explanation & Solution:

Statistics indicate that a large number of findings with similar features are related to in the population.

A sample is a subset from which it has been extracted.

"The American Time Usage survey for 2015 provides details about how many minutes of sleep every evening are assigned to each of 10,900 survey respondents.

An SRS of 100 participants (a plain random sample) has x = 514.4 minutes on average.

The size of the U.S. Time Utilization Survey is 10,900.