Exam 7: Estimation and Sampling Distributions

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A sample distribution_____.

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A sampling distribution _____.

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Technically,the accuracy of a variance estimate is not a function of the degrees of freedom (N - 1),but rather is a function of the sample size (N).

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The statistical phrase "degrees of freedom" denotes ____.

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The standard error of the mean gets smaller as the sample size decreases.

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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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The standard error of the mean represents an average deviation of the sample means from the ____________________ mean.

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In statistical terms,the sample mean is said to be a(n)_____ of the population mean.

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A sum of squares around a sample mean will always have N - 2 degrees of freedom associated with it.

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As degrees of freedom for a statistic increase,the more accurate the estimate of the ____________________ value will be.

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There is a difference sampling distribution for every sample size.

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The sample variance and standard deviation are biased estimators of the corresponding population values because they ____________________ the population variance and standard deviation.

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An implication of the central limit theorem is that the sampling distribution of the mean can be approximated by a _____ distribution when the sample size is sufficiently _____.

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A _____ can be formally defined as a theoretical distribution consisting of the mean scores for all possible random samples of a given size that could be drawn from a population.

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

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The "correction" of subtracting 1 from N in the denominator makes the variance estimate _____ than the sample variance,and hence the variance estimate will be _____ the true population variance than the sample variance,on average.

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Define the standard error of the mean.

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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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You ask 5 people to indicate the extent to which they agree or disagree with a statement regarding the legalization of marijuana.You get the following set of scores: 2,3,4,5,5.What is the mean square (variance estimate)of these scores?

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You ask 5 people to indicate the extent to which they agree or disagree with a statement regarding the legalization of marijuana.You get the following set of scores: 2,3,4,5,5.What is the standard deviation estimate for this set of scores?

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