Exam 7: Sampling and Sampling Distributions

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The sample standard deviation s is an unbiased estimator of the population standard deviation σ.

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In order to select a stratified random sample,we divide the population into overlapping groups of similar elements.

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Which of the following is a type of question used in survey research?

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An unbiased estimate of ?2 is _____.

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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.

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The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

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The Central Limit Theorem states that as sample size increases,the population distribution more closely approximates a normal distribution.

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Find P(Xˉ<25)\mathrm { P } ( \bar { X } < 25 ) If ? = 16 and σXˉ=4\sigma _ { \bar { X } } = 4

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A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.What is μx?

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If p = .8 and n = 50,then we can conclude that the sampling distribution of p^\hat { p } is approximately a normal distribution.

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According to a hospital administrator,historical records over the past 10 years have shown that 20 percent of the major surgery patients are dissatisfied with after-surgery care in the hospital.A scientific poll based on 400 hospital patients has just been conducted.Sixty-four patients indicated that they were dissatisfied with the after-surgery care.What are the mean and the standard deviation of the sampling distribution of p^\hat { p } ?

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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 p^\hat { p } with a normal distribution.

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