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A(n) estimator is a statistic for which, if an infinite number of random samples of a certain size were obtained, the mean of the values of the statistic would equal the parameter being estimated.


A) interval
B) point
C) unbiased
D) consistent

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A population parameter is estimated by a.


A) population statistic
B) population stratum
C) sample statistic
D) sample parameter

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For a consistent estimator, which of the following sample sizes would yield the most accurate estimate of a population parameter?


A) 5
B) 24
C) 30
D) 68

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A 95% confidence interval is determined by the interval of plus or minus standard errors around the mean.


A) 1.96; population
B) 2.58; population
C) 1.96; sample
D) 2.58; sample

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Which of the following statements is correct?


A) The higher the confidence level, the smaller the confidence interval.
B) The lower the confidence level, the smaller the confidence interval.
C) The greater the population variance, the smaller the confidence interval.
D) None of the above.

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If a statistic is consistently larger than the parameter it estimates, then the statistic is a(n) estimator.


A) unbiased
B) consistent
C) inconsistent
D) biased

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A population has a mean of 100 and a standard deviation of 5. If samples of size N = 25 are randomly drawn from this population, then the standard error will be equal to.


A) 1.0
B) 5.0
C) 0.2
D) 0.5

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The standard error is the.


A) average deviation of the sample means subtracted from the population mean
B) maximum amount by which individual scores vary around the sample mean
C) standard deviation of the sampling distribution of the mean
D) mean sampling error divided by the sample size

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The value of is used to estimate σ.


A) σ\sigma
B) s
C) σXˉ\sigma _ { \bar { X } }
D) s2s ^ { 2 }

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The error in estimating a population mean from a sample mean is called error.


A) sampling
B) random
C) chance
D) distribution

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A value of X may be converted to a score on the standard normal distribution by using the formula. A value of X may be converted to a score on the standard normal distribution by using the formula. A) z = \frac { \bar { X } - \mu } { \sigma \bar { X } } B) z = \frac { \bar { X } - \bar { X } \bar { A } } { \sigma _ { \bar { x } } } C) z = \frac { \bar { X } - \mu } { \sigma } D) z = \frac { \bar { X } - \mu } { \sigma ^ { 2 } }


A) z=Xˉ−μσXˉz = \frac { \bar { X } - \mu } { \sigma \bar { X } }
B) z=Xˉ−XˉAˉσxˉz = \frac { \bar { X } - \bar { X } \bar { A } } { \sigma _ { \bar { x } } }
C) z=Xˉ−μσz = \frac { \bar { X } - \mu } { \sigma }
D) z=Xˉ−μσ2z = \frac { \bar { X } - \mu } { \sigma ^ { 2 } }

Correct Answer

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A(n) estimator is one for which the probability that its value is close to the value of the parameter increases as the sample size increases.


A) unbiased
B) consistent
C) biased
D) inconsistent

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Which of the following statements is correct?


A) The smaller the sample, the smaller the sampling error.
B) The smaller the sample, the more consistent the sampling error.
C) The larger the sampling error, the more consistent the estimate.
D) The larger the sample, the smaller the sampling error.

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Statistical inference is the process of estimating population parameters from sample statistics.


A) known; known
B) known; unknown
C) unknown; unknown
D) unknown; known

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Representativeness of a sample is principally determined by the.


A) method of sampling used
B) size of the sample
C) symmetry of the population distribution
D) standard error of the mean

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The the sample size and the the variability of scores, the more accurately a sample mean will estimate a population mean.


A) smaller; larger
B) larger; smaller
C) smaller; smaller
D) larger; larger

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The interval from the population mean to one standard error below the mean in a sampling distribution of the mean contains approximately percent of the sample means.


A) 14
B) 34
C) 50
D) 68

Correct Answer

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The value of s2− of σ2s ^ { 2 } - \text { of } \sigma ^ { 2 }


A) is an unbiased estimator
B) overestimates the value
C) underestimates the value
D) is an interval estimate

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