Exam 7: Sampling and Sampling Distributions

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The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches.Suppose a random sample of 20 balls is selected.Calculate the standard deviation of the sampling distribution of the sample mean.

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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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A random sample of size 1,000 is taken from a population where p = .20.What is A random sample of size 1,000 is taken from a population where p = .20.What is   ? ?

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The mean of the sampling distribution of the sample proportion is equal to _____ when the sample size is sufficiently large.

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In the upcoming election for governor,the most recent poll,based on 900 respondents,predicts that the incumbent will be reelected with 55 percent of the votes.From the 900 respondents,how many indicated that they would not vote for the current governor or indicated that they were undecided?

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When we perform ______________,an element of a population always has a chance of being chosen at each point of selection.

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A random sample of size 1,000 is taken from a population where p = .20.What is A random sample of size 1,000 is taken from a population where p = .20.What is

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In random sampling without replacement,each element in the sample will be different.

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

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The reason sample variance has a divisor of n - 1 rather than n is that it makes the variance an unbiased estimate of the population variance.

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

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

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If a population is known to be normally distributed,then it follows that the sample standard deviation must equal σ.

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Suppose that 60 percent of the voters in a particular region support a candidate.Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 2 percentage points.

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

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

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If the sample size n is infinitely large,then s2 is an unbiased estimator of σ2.

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The number of defectives in 10 different samples of 100 observations each is the following: 1,2,1,0,2,3,1,4,2,1.What is the estimate of the population proportion of defectives?

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A manufacturing company measures the weight of boxes before shipping them to the customers.If the box weights have a population mean and standard deviation of 90 lbs.and 24 lbs. ,respectively,then based on a sample size of 36 boxes,what is the probability that the average weight of the boxes will be less than 84 lbs.?

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The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches.Suppose a random sample of 20 balls is selected.What percentage of sample means will be less than 5.14 inches?

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