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Practice Questions 5
1.
Random samples of size 36 are taken from an infinite population whose mean is 80 and
standard deviation is 18. The mean and standard error of the sampling distribution of
sample means are, respectively,
A)
80 and 18
B)
80 and 2
C)
80 and 3
D)
36 and 2
2.
The standard deviation of the sampling distribution of the sample mean is also called the
A)
central limit theorem
B)
standard error of the mean
C)
finite population correction factor
D)
population standard deviation
3.
If all possible samples of size
n
are drawn from an infinite population with a mean of 20
and a standard deviation of 5, then the standard error of the sampling distribution of
sample means is equal to 1.0 only for samples of size
A)
5.
B)
15.
C)
20.
D)
25.
4.
A sample of size
n
is selected at random from an infinite population. As
n
increases,
which of the following statements is true?
A)
The population standard deviation decreases
B)
The standard error of the sample mean decreases
C)
The population standard deviation increases.
D)
The standard error of the sample mean increases
5.
Sampling distributions describe the distribution of
A)
population parameters
B)
sample statistics
C)
both parameters and statistics
D)
neither parameters nor statistics
6.
If a random sample of size
n
is drawn from a normal population, then the sampling
distribution of sample means will be:
A)
normal for all values of
n
B)
normal only for
n
> 30
C)
approximately normal for all values of
n
D)
approximately normal only for
n
> 30
7.
If all possible samples of size
n
are drawn from a population, the probability distribution of
the sample means is called the:
A)
standard error of the sample mean
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expected value of the sample mean
C)
sampling distribution of sample means
D)
normal distribution
8.
Why is the Central Limit Theorem important in statistics?
A)
Because for a large sample size
n
, it says the population is approximately normal.
B)
Because for a large sample size
n
, it says the sampling distribution of the sample
mean is approximately normal, regardless of the shape of the population.
C)
Because for any population, it says the sampling distribution of the sample mean is
approximately normal, regardless of the shape of the population.
D)
Because for any sample size
n
, it says the sampling distribution of the sample mean
is approximately normal.
9.
As a general rule, the normal distribution is used to approximate the sampling distribution
of the sample proportion only if
A)
the sample size
n
is greater than 30.
B)
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 Spring '08
 YILMAZ

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