Exam 8: Confidence Interval Estimation
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A parameter such as
is sometimes referred to as a(n)_____ parameter,because many times,we need its value even though it is not the parameter of primary interest.

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(Multiple Choice)
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Correct Answer:
C
A 90% confidence interval estimate for a population mean
is determined to be 72.8 to 79.6.If the confidence level is reduced to 80%,the confidence interval for
becomes narrower.


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(True/False)
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Correct Answer:
True
The t-distribution for developing a confidence interval for a mean has degrees of freedom equal to
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(Multiple Choice)
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Correct Answer:
D
The approximate standard error of the point estimate of the population total is
(Multiple Choice)
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The confidence interval for the population standard deviation σ is centered at the point estimate,the sample standard deviation s.
(True/False)
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In determining the sample size n for estimating the population proportion p,a conservative value of n can be obtained by using 0.50 as an estimate of p.
(True/False)
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For a given confidence level,the procedure for controlling interval length usually begins with the specification of the
(Multiple Choice)
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In general,the paired-sample procedure is appropriate when the samples are naturally paired in some way and there is a reasonably large positive correlation between the pairs.In this case,the paired-sample procedure makes more efficient use of the data and generally results in narrower confidence intervals.
(True/False)
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In past years,approximately 25% of all U.S.families purchased potato chips at least once a month.We are interested in determining the fraction of all U.S.families that currently purchase potato chips at least once a month.How many families must we survey if we want to be 99% sure that our estimate of the fraction of U.S.families currently purchasing potato chips at least once a month is accurate within 2%?
(Essay)
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When calculating a confidence interval for the difference between two population proportions,we multiply the standard error of the difference between sample proportions by t-multiple.
(True/False)
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The degrees of freedom for the t and chi-square distributions is a numerical parameter of the distribution that defines the precise shape of the distribution.
(True/False)
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In order to construct a confidence interval estimate of the population mean
,the value of
must be given.


(True/False)
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When we replace
with the sample standard deviation (s),we introduce a new source of variability and the sampling distribution becomes the

(Multiple Choice)
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The standard error of the sampling distribution of the sample proportion
,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.

(True/False)
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In developing a confidence interval for the difference between two population means using two independent samples,we use the pooled estimate
in estimating the standard error of the sampling distribution of the sample mean difference
if the populations are normal with equal variances.


(True/False)
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If you increase the confidence level,the length of the confidence interval
(Multiple Choice)
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Two independent samples of sizes 50 and 50 are randomly selected from two populations to test the difference between the population means,
.The sampling distribution of the sample mean difference
is


(Multiple Choice)
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The approximate standard error of the point estimate of the population total is
.

(True/False)
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When the samples we want to compare pair in some natural way,such as a pretest/posttest for each person or husband/wife pairs,a more appropriate form of analysis is to not construct a confidence interval treating them as two separate variables,but instead to construct a confidence interval to estimate the mean
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