Exam 7: Sampling and Sampling Distributions

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The sampling method in which a population is divided into blocks and then selected by choosing a random mechanism is called a

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B

The standard error of an estimate is the standard deviation of the sampling distribution of the estimate.It measures how much estimates from different samples vary.

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True

The reason the Central Limit Theorem (CLT)is such an important result in statistics is because:

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D

An estimator is said to be unbiased if the mean of its sampling distribution equals the value of the population parameter being estimated.

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The sampling mean Xˉ\bar { X } Is the estimate for the population mean μ\mu )

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Which of the following statements are correct?

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An unbiased estimate is a point estimate such that the mean of its sampling distribution is equal to the true value of the population parameter being estimated.

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The theorem that states that the sampling distribution of the sample mean Xˉ\bar { X } Is approximately normal when the sample size n is reasonably large is known as the:

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The standard deviation of Xˉ\bar { X } Is usually called the

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Simple random sampling can result in under-representation or over-representation of certain segments of the population.This is one of several reasons that simple random samples are almost never used in real applications.

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The key to using stratified sampling is:

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Which of the following are reasons for why simple random sampling is used infrequently in real applications?

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The approximate standard error of the sample mean is calculated as:

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A point estimate is a single numeric value,a "best guess" of a population parameter,calculated from the sample data.

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The opportunity for nonsampling error is increased by:

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A sample in which the sampling units are chosen from the population by means of a random mechanism is a

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When a portion of the sample does not respond to the survey,results.

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The randomized response technique is a way of getting at sensitive information to avoid estimation errors due to nontruthful responses.

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It is customary to approximate the standard error of the sample mean σ/n\sigma / \sqrt { n } by substituting the sample standard deviation s for σ\sigma in the formula: SE( Xˉ\bar { X } )= σ/n\sigma / \sqrt { n } .

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The size of a sample can be selected by first determining the desired standard error and then using the formula SE(X)=σInS E ( X ) = \sigma I \sqrt { n } to calculate n.

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