Exam 7: Sampling and Sampling Distributions

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The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn.

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The two basic sources for error when using random sampling are:

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The difference between the point estimate and the true value of the population parameter being estimated is called the estimation error.

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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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A judgmental sample is a sample in which the

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The approximate 95% confidence interval for a population mean is:

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

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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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A list of all members of the population is called a:

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Simple random samples are typically used in real applications.

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In cluster sampling,the population is divided into subsets called clusters (such as cities or city blocks),and then a random sample of the clusters is selected.Once the clusters are selected,we typically sample all of the members in each selected cluster.

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Stratified samples are typically not used in real applications because they provide less accurate estimates of population parameters for a given sampling cost.

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Consider the frame of 50 full-time employees of Computer Technologies,Inc (CTI).CTI's human resources manager has collected annual salary figures for all employees and she has calculated a mean of $47,723,a median of $41,082 and a standard deviation of $24,167.A simple random sample of 10 employees is presented below (salary is in $1,000's).Compute the mean,median,and standard deviation for the sample and compare these statistics with the measures for the entire company. Consider the frame of 50 full-time employees of Computer Technologies,Inc (CTI).CTI's human resources manager has collected annual salary figures for all employees and she has calculated a mean of $47,723,a median of $41,082 and a standard deviation of $24,167.A simple random sample of 10 employees is presented below (salary is in $1,000's).Compute the mean,median,and standard deviation for the sample and compare these statistics with the measures for the entire company.

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Identifiable subpopulations within a population are called:

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(A)To assess potential interest in your proposed enterprise,you would like to conduct telephone interviews with a representative subset of the 1000 Internet users.How would you proceed to stratify the given frame of 1000 individuals to choose 50 for telephone interviews? Explain your approach. (B)Explain how you could apply cluster sampling to obtain a sample size of 50 from this frame.What are the advantages and disadvantages of employing cluster sampling in this case?

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Potential sample members,called sampling units,are:

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It is customary to approximate the standard error of the sample mean It is customary to approximate the standard error of the sample mean   by substituting the sample standard deviation s for   in the formula: SE(   )=   . by substituting the sample standard deviation s for It is customary to approximate the standard error of the sample mean   by substituting the sample standard deviation s for   in the formula: SE(   )=   . in the formula: SE( It is customary to approximate the standard error of the sample mean   by substituting the sample standard deviation s for   in the formula: SE(   )=   . )= It is customary to approximate the standard error of the sample mean   by substituting the sample standard deviation s for   in the formula: SE(   )=   . .

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

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(A)What sample size would be required for the auditors to be approximately 95% sure that their estimate of the average savings account balance at this bank is within $150 of the true mean? Assume that their best estimate of the population standard deviation (A)What sample size would be required for the auditors to be approximately 95% sure that their estimate of the average savings account balance at this bank is within $150 of the true mean? Assume that their best estimate of the population standard deviation   is $300. (B)Choose a simple random sample of the size found in (A). (C)Compute the observed sampling error based on the sample you have drawn from the population.How does the actual sampling error compare to the maximum possible probable absolute error established in (A)? Explain is $300. (B)Choose a simple random sample of the size found in (A). (C)Compute the observed sampling error based on the sample you have drawn from the population.How does the actual sampling error compare to the maximum possible probable absolute error established in (A)? Explain

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The averaging effect says that as you average more and more observations from a given distribution,the variance of the average increases.

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