Question

The 2015 American Time Use survey contains data on how many minutes of sleep per night...

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 ?¯=514.4 minutes. A second SRS of size 100 has mean ?¯=539.3 minutes. After many SRSs, the values of the sample mean ?¯ follow the Normal distribution with mean 529.9 minutes and standard deviation 13.56 minutes.

(a) 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.

(b) What values does the population distribution describe? What is this distribution?

A. The population distribution describes the minutes of sleep per night for the individuals in this population. This distribution is Normal with mean 529.9 minutes and standard deviation 13.56 minutes.

B. The population distribution describes the minutes of sleep per night for the individuals in this population. This distribution is Normal with mean 529.9 minutes and standard deviation 135.6 minutes.

C. The population distribution describes the distribution of the average sleep time for 100 randomly selected individuals from this population. This distribution is Normal with mean 514.4 minutes.

D. The population distribution describes the distribution of the average sleep time for 100 randomly selected individuals from this population. This distribution is Normal with mean 529.9 minutes and standard deviation 13.56 minutes.

(c) What values does the sampling distribution of ?¯ describe? What is the sampling distribution?

A. The sampling distribution describes the distribution of the average sleep time for 100 randomly selected individuals from this population. This distribution is Normal with mean 514.4 minutes.

B. The sampling distribution describes the distribution of the average sleep time for 100 randomly selected individuals from this population. This distribution is Normal with mean 529.9 minutes and standard deviation 135.6 minutes.

C. The sampling distribution describes the distribution of the average sleep time for 100 randomly selected individuals from this population. This distribution is Normal with mean 529.9 minutes and standard deviation 13.56 minutes.

D. The sampling distribution describes the minutes of sleep per night for the individuals in this population. This distribution is Normal with mean 529.9 minutes and standard deviation 135.6 minutes.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)
option C)
C. The population is the 10,900 respondents to the American Time Use Survey.

b)
option B)
B. The population distribution describes the minutes of sleep per night for the individuals in this population. This distribution is Normal with mean 529.9 minutes and standard deviation 135.6 minutes.

c)
option C)
C. The sampling distribution describes the distribution of the average sleep time for 100 randomly selected individuals from this population. This distribution is Normal with mean 529.9 minutes and standard deviation 13.56 minutes.

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