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Which sample size will produce the confidence interval with the smallest width?


A) 100
B) 200
C) 500
D) 1000

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The sample standard deviation is a biased estimator of the population standard deviation. When using sample means as estimators, we correct for bias in the formula for finding confidence intervals by________.


A) using N - 1 rather than N.
B) using N rather than N - 1.
C) using s rather than Z.
D) squaring the value of Z.

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The width of an interval estimate can be controlled by________.


A) changing the confidence level.
B) changing the alpha level.
C) changing the sample size.
D) Any of the answer choices

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An estimator is unbiased if the mean of its sampling distribution is equal to________.


A) the midpoint of the distribution.
B) the sample mean.
C) the population value.
D) the population median.

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A confidence level of 99% is the same as an alpha level of________.


A) 0.05
B) 0.10
C) 0.01
D) 0.001

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Sample proportions are________.


A) biased.
B) theoretical.
C) unbiased.
D) None of these choices are correct.

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We have used an alpha of 0.01 to estimate the average hours of television viewing for residents in a retirement home. What is the chance that our interval estimate does not contain the true population mean?________.


A) 99%
B) 10%
C) 1%
D) 1/10 of 1%

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To construct the narrowest possible confidence intervals, use __________.________.


A) small samples
B) large samples
C) the least efficient estimator
D) an unbiased statistic

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The sizes of four samples vary as follows: Sample A, N = 100 Sample B, N = 76Sample C, N =1000 Sample D, N = 150. Which sample will produce the most efficient estimate?


A) Sample A
B) Sample B
C) Sample C
D) Sample D

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Calculate the confidence interval:________. Of the 1220 respondents for whom we have information, 178 said that they had been divorced at least once.

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A random sample of 500 reports an average yearly income of $42,000 with a standard deviation of $1000. An estimate of the parameter at the 95% level is about $175 wide. In this research situation________.


A) we can be 95% confident that the population mean is 42,000 ± 175.
B) the sample size is much too small to justify the use of estimation procedures.
C) the alpha level is 1000.
D) the sample mean is $175.

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The probability that an interval estimate does not include the population value is called________.


A) the margin.
B) alpha.
C) an error.
D) the odds.

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In constructing interval estimates based on sample proportions (P s) , the population proportion (P u) must be estimated. It is most conservative to estimate P uat________.


A) P s
B) .50
C) .25
D) 1.00

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An alpha level of 0.05 is the same as a confidence level of________.


A) 99.5%
B) 95%
C) 90.5%
D) 90%

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Sample size and the width of confidence intervals________.


A) increase at the same rate.
B) increase at different rates: sample size increases faster than interval width.
C) increase at different rates: sample size increases more slowly than interval width.
D) have no relationship to each other.

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In ________ of the cases, the mean of a sample selected by EPSEM will be more than±3 Z's from the population mean.


A) less than 1%
B) more than 5%
C) more than 90%
D) more than 99%

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If you have a sample statistic and an unknown population standard deviation, you would use which formula to calculate the confidence interval.________.


A) If you have a sample statistic and an unknown population standard deviation, you would use which formula to calculate the confidence interval.________. A)    B)    C)    D)  None of these choices are correct.
B) If you have a sample statistic and an unknown population standard deviation, you would use which formula to calculate the confidence interval.________. A)    B)    C)    D)  None of these choices are correct.
C) If you have a sample statistic and an unknown population standard deviation, you would use which formula to calculate the confidence interval.________. A)    B)    C)    D)  None of these choices are correct.
D) None of these choices are correct.

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