Exam 7: Sampling and Sampling Distributions

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The Central Limit Theorem states that as the sample size increases,the distribution of the sample ____________ approaches the normal distribution.

(Multiple Choice)
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A sample statistic is an unbiased point estimate of a population parameter if the mean of the populations of all possible values of the sample statistic equals the population parameter.

(True/False)
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If we have a sample size of 100 and the estimate of the population proportion is .10,we can estimate the sampling distribution of with a normal distribution.

(True/False)
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If the sample size n is infinitely large,then s2 is an unbiased estimator of σ2.

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There is no easy way to calculate an unbiased point estimate of σ.

(True/False)
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According to the Central Limit Theorem,if a sample size is at least _____,then for most sampled populations,we can conclude that the sample means are approximately normal.

(Multiple Choice)
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For any sampled population,the population of all sample means is approximately normally distributed.

(True/False)
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A minimum-variance unbiased point estimate has a variance that is as small as or smaller than the variances of any other unbiased point estimate.

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The standard deviation of the sampling distribution of the sample mean is σ.

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The sampling distribution of the sample mean is a normal distribution for ________ sample sizes,regardless of the shape of the corresponding population distribution.

(Multiple Choice)
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If p = .9 and n = 40,then we can conclude that the sampling distribution of is approximately a normal distribution.

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As the sample size increases,the variability of the sampling distribution of the mean ______________.

(Multiple Choice)
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The population of all _________________ proportions is described by the sampling distribution of .

(Multiple Choice)
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If the sampled population is exactly normally distributed,then the sampling distribution of is also expected to be normal,regardless of the sample size.

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The spread of the sampling distribution of is ____________ the spread of the corresponding population distribution sampling distribution.

(Multiple Choice)
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If a population distribution is known to be normal,then it follows that

(Multiple Choice)
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As the sample size increases,the standard deviation of the sampling distribution increases.

(True/False)
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If the sampled population is finite and at least _____ times larger than the sample size,we treat the population as infinite.

(Multiple Choice)
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The ___________ is a minimum-variance unbiased point estimate of the mean of a normally distributed population.

(Multiple Choice)
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A sample size of 500 is sufficiently large to conclude that the sampling distribution of is a normal distribution,when the estimate of the population proportion is .995.

(True/False)
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