CHAPTER 7: SAMPLING DISTRIBUTIONS
1.
Sampling distributions describe the distribution of
a)
parameters.
b)
statistics.
c)
both parameters and statistics.
d)
neither parameters nor statistics.
ANSWER:
b
TYPE: MC
DIFFICULTY: Easy
KEYWORDS: statistics, sampling distribution
2.
The standard error of the mean
a)
is never larger than the standard deviation of the population.
b)
decreases as the sample size increases.
c)
measures the variability of the mean from sample to sample.
d)
all of the above
ANSWER:
d
TYPE: MC
DIFFICULTY: Easy
KEYWORDS: standard error, mean
3.
The Central Limit Theorem is important in statistics because
a)
for a large
n
, it says the population is approximately normal.
b)
for any population, it says the sampling distribution of the sample mean is approximately normal,
regardless of the sample size.
c)
for a large
n
, it says the sampling distribution of the sample mean is approximately normal, regardless
of the shape of the population.
d)
for any sized sample, it says the sampling distribution of the sample mean is approximately normal.
ANSWER:
c
TYPE: MC
DIFFICULTY: Difficult
KEYWORDS: central limit theorem
4.
If the expectation of a sampling distribution is located at the parameter it is estimating, then we call
that statistic
a)
unbiased.
b)
minimum variance.
c)
biased.
d)
random.
ANSWER:
a
TYPE: MC
DIFFICULTY: Moderate
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View Full DocumentKEYWORDS: unbiased
5.
For air travelers, one of the biggest complaints involves the waiting time between when the airplane
taxis away from the terminal until the flight takes off. This waiting time is known to have a skewed
right distribution with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights
have been randomly sampled. Describe the sampling distribution of the mean waiting time between
when the airplane taxis away from the terminal until the flight takes off for these 100 flights.
a)
Distribution is skewedright with mean = 10 minutes and standard error = 0.8 minutes.
b)
Distribution is skewedright with mean = 10 minutes and standard error = 8 minutes.
c)
Distribution is approximately normal with mean = 10 minutes and standard error = 0.8 minutes.
d)
Distribution is approximately normal with mean = 10 minutes and standard error = 8 minutes.
ANSWER:
c
TYPE: MC
DIFFICULTY: Moderate
KEYWORDS: central limit theorem
6.
Which of the following statements about the sampling distribution of the sample mean is
incorrect
?
a)
The sampling distribution of the sample mean is approximately normal whenever the sample size is
sufficiently large ().
b)
The sampling distribution of the sample mean is generated by repeatedly taking samples of size
n
and
computing the sample means.
c)
The mean of the sampling distribution of the sample mean is equal to .
d)
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 Spring '11
 smith
 Business, Central Limit Theorem, Normal Distribution, Standard Deviation, web site

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