Exam 5: Sampling Distributions

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Consider a business with 4 employees. List the composition of all possible draws when randomly selecting employees for samples of n = 3.

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1,2,32,1,33,1,24,1,21,2,42,1,43,1,44,1,31,3,22,3,13,2,14,2,11,3,42,3,43,2,44,2,31,4,22,4,13,4,14,3,11,4,32,4,33,4,24,3,2\begin{array}{llll}1,2,3 & 2,1,3 & 3,1,2 & 4,1,2 \\1,2,4 & 2,1,4 & 3,1,4 & 4,1,3 \\1,3,2 & 2,3,1 & 3,2,1 & 4,2,1 \\1,3,4 & 2,3,4 & 3,2,4 & 4,2,3 \\1,4,2 & 2,4,1 & 3,4,1 & 4,3,1 \\1,4,3 & 2,4,3 & 3,4,2 & 4,3,2\end{array}

You should use convenience sampling when ______.

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If possible, it is always preferable to measure a parameter instead of a statistic.

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If = 36 and n = 9, we would expect that 95% of sample means would fall between ______.

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Explain the difference between random sampling and stratified random sampling. Provide an example of each.

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You are interested in conducting a survey of your employees, but you want to ensure that men and women are appropriately represented in your sample. In your organization, 70% of your employees are women and 30% are men. If you used stratified random sampling appropriately, how many men and women would be in your sample of 150 employees?

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You want to ensure that the five departments in your organization are equally represented in your sample. You need 100 responses to your surveys. How many people from each department should be in your sample?

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When sampling customers, you can increase the representativeness of your sample by ______.

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Describe the central limit theorem and explain what we can assume about the sampling distribution based upon this principle.

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You know that the sampling distribution of all means for a given sample size will be approximately normally distributed because of the ______.

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σx\sigma_{x}^{-} represents the population standard error of the mean.

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Define sample standard error in terms of both sample means and the sampling distribution.

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If n = 4 and = 2, the population standard error is ______.

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If you have complete access to sample your population, simple random sampling is the best method to use.

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Larger sample sizes lead to smaller standard errors.

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If = 10, all sample means should also equal 10.

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The population standard error of the mean is ______.

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A good sample will perfectly reflect the population.

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If you sample standard error equals .25, this means that ______.

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If you have more than a single group of interest, you can use stratified random sampling to ensure an equal representation of all groups in your sample.

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