Practice questions for Exam 3
1.
Fill in the blank: The tdistribution with 8 degrees of freedom has ____________________ the
standard Normal distribution.
A.
the same center but is more spread out than
B.
the same center but is less spread out than
C.
the same center and spread as
D.
a different center and a different spread than
2.
We use a tdistribution with n –1 degrees of freedom rather than the standard normal distribution
whenever
A.
the Central Limit Theorem does not apply.
B.
we are using s to estimate σ.
C.
the population is not Normally distributed.
D.
we can apply the Law of Large numbers and do not need normality.
3.
When analyzing data from a matched pairs experiment where measurements were taken on each
individual before and after the treatment, we always analyze
A.
the mean of the before measurements minus the mean of the after measurements.
B.
the variability of the effect of the treatment from individual to individual.
C.
the correlation between the before measurements and the after measurements.
D.
the differences: for each individual where each difference equals the before measurement
minus the after measurement.
E.
the variation of the before measurements and the after measurements.
4.
Fill in the blank: The tdistribution with 4 degrees of freedom is _______________________ the
standard Normal distribution.
5.
Standard error of
x
refers to
6.
Fill in the blank:
Standard error of
x
measures ____________ of the sampling distribution of
x
.
A.
shape
B.
center
C.
spread or variability
7.
The test statistic
n
s
x
t
μ

=
tells us
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8.
Whenever performing an inferential procedure on means using a tdistribution with n < 40, one
should always
A.
try to increase the margin of error.
B.
use a resampling technique to verify conclusions.
C.
plot the data and check for strong skewness or outliers.
D.
simulate the sampling distribution to understand the conclusions.
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 Spring '10
 BRUCEJAYCOLLINGS
 Statistics, Normal Distribution, Statistical hypothesis testing, H0

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