Exam 7: Estimation and Sampling Distributions

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The sampling distribution of the mean contains

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A(n)____ of a population parameter is one whose average over all possible random samples of a given size equals the value of the parameter.

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Technically,the accuracy of a variance estimate is not a function of the _____,but rather is a function of the _____.

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Define the standard error of the mean.

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An unbiased estimator of a population parameter is one whose average (mean)over all possible random samples of a given size equals the value of the parameter.

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If the standard error of the mean is small,then all the sample means based on a given sample size (N)will be equal to the population mean.

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Given: ì = 3.5,ó = 2.09.Calculate ó for sample size of 16.

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Even when the shape of the underlying population is skewed,the sampling distribution of the mean approximates a ____________________ when sample sizes are large enough.

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What is an unbiased estimator?

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Assume you are a researcher for a small university.You have surveyed all 1500 students at the university on the following question,"Within the last 30 days,what percent of students at your school used alcohol? State your best estimate." How would a sampling distribution of the mean with N = 15,be created for the data from this question?

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If a researcher is interested in having a group of 100 people complete a survey and she plans to calculate a variance estimate and standard deviation estimate for that group,how can she increase her degrees of freedom before she does her calculations?

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The sample variance,on average,____the true population variance.

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Two factors influence the size of the standard error of the mean: the _____ and the _____.

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The standard deviation of a sampling distribution of the mean is called the:

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The standard deviation of a sampling distribution of the mean is called the standard error of the mean.

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The central limit theorem states that a sampling distribution of the mean for a population will approximate that of a normal distribution as ____.

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In statistics,the phrase degrees of freedom is used to indicate the number of pieces of information that are "free of each other" in the sense that they cannot be deduced from one another.

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According to the central limit theorem,if you selected every possible random sample of size N from some population and computed a mean ( According to the central limit theorem,if you selected every possible random sample of size N from some population and computed a mean (   )for each of these samples,then the average (i.e.,mean)of these sample means will always be ____. )for each of these samples,then the average (i.e.,mean)of these sample means will always be ____.

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In practice,it is possible to compute the exact amount of sampling error that occurs.

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It is virtually impossible for investigators to select truly random samples from very large populations.

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