(b) What values does the sampling distribution of x¯ describe? What is the sampling distribution?A) 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. 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 514.4 minutes. D) 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. The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 surveyparticipants estimated they get. The times follow the Normal distribution with mean 529.9 minutes and standarddeviation 135.6 minutes. An SRS of 100 of the participants has a mean time of x = 514.4 minutes. A second SRS of size100 has mean i = 539.3 minutes. After many SRSS, the values of the sample mean i follow the Normal distributionwith mean 529.9 minutes and standard deviation 13.56 minutes.(a) What is the population?The population is 135.6 million respondents to the American Time Use Survey.The population is all Americans who sleep through the night.The population is the 100 participants in the SRS.The population is the 10, 900 respondents to the American Time Use Survey. What values does the population distribution describe? What is this distribution?The population distribution describes the distribution of the average sleep time for 100 randomly selectedindividuals from this population. This distribution is Normal with mean 514.4 minutes.The population distribution describes the distribution of the average sleep time for 100 randomly selectedindividuals from this population. This distribution is Normal with mean 529.9 minutes and standard deviation 13.56minutes.The population distribution describes the minutes of sleep per night for the individuals in this population. Thisdistribution is Normal with mean 529.9 minutes and standard deviation 13.56 minutes.O The population distribution describes the minutes of sleep per night for the individuals in this population. Thisdistribution is Normal with mean 529.9 minutes and standard deviation 135.6 minutes.

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Description: (b) What values does the sampling distribution of x¯ describe? What is the sampling distribution?A) The sampling distribution describes the minutes of sleep per night for the individuals in this population. This distribution is Normal with mean 529.9

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

A) 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.

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 514.4 minutes.

D) 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.

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 i = 539.3 minutes. After many SRSS, the values of the sample mean i follow the Normal distribution
with mean 529.9 minutes and standard deviation 13.56 minutes.
(a) What is the population?
The population is 135.6 million respondents to the American Time Use Survey.
The population is all Americans who sleep through the night.
The population is the 100 participants in the SRS.
The population is the 10, 900 respondents to the American Time Use Survey.

What values does the population distribution describe? What is this distribution?
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.
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.
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.
O 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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