Sampling Distributions and the Central Limit Theorem

What is the equivalent value of the standard deviation of the sampling distribution of the sample means in comparison to the standard deviation in an infinite population?

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What is the equivalent value of the standard deviation of the sampling distribution of the sample means in comparison to the standard deviation in a finite population?

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In the formula shown above, what does N stands for?

• sample size

• population size

• number of respondents

• number 30

What have you observed with the histogram of the sampling distribution of the sample mean?

• The histogram is skewed to the left, regardless of the shape of the population.

• It will tend to have an abnormal distribution, regardless of the shape of the population.

• The bar in the histogram will be equally distributed

• It will tend to have a normal distribution, regardless of the shape of the population.

• 5

• 0.91

• 0.71

• 0

• 400

• 40

• 25

• 8

• 400

• 40

• 25

• 8

The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?

• .00571

• .655

• .345

• .994

These symbols represent the mean and standard deviation for which of the following?

• The Population Distribution

• The Sample Distribution

• The Sampling Distribution

• The Binomial Distribution

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours. What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?

• .430

• .148

• .281

• .087