Doubling the size of the sample will reduce the standard error of the mean
The sample mean is the point estimator of U
A simple random sample of size n from an infinite pop-
ulation of size N is to be selected. Each possible sample the same probability of being selected
should have
Which of the following statements regarding the sampling The standard deviation of the sampling distribution is the
distribution of sample means is incorrect? standard deviation of the population.
A simple random sample of size n from an infinite popu- each element is selected independently and is selected
lation is a sample selected such that from the same population
The fact that the sampling distribution of sample means
can be approximated by a normal probability distribution central limit theorem.
whenever the sample size becomes large is based on the
Cluster sampling is a probability sampling method.
if the sample size n is large, then the sampling distribution
The central limit theorem states that of the sample mean can be approximated by a normal
distribution.
The value of the is used to estimate the value of the
sample statistic
population parameter
probability distribution of all possible values of the sample
The sampling distribution of is the
proportion.
Which of the following is not a symbol for a parameter? S.
The sample statistic characteristic s is the point estimator
σ..
of
The distribution of values taken by a statistic in all possible
samples of the same size from the same population is sampling distribution.
called a
Which of the following is a point estimator? S.
,UCF QMB 3200 Final Exam Test Questions and Answers Rated A
As a rule of thumb, the sampling distribution of the sam-
ple proportion can be approximated by a normal proba- n(1 - p) e5 and np e5 .
bility distribution when
A sample of 92 observations is taken from an infinite
normal because of the central limit theorem.
population. The sampling distribution of is approximately
The central limit theorem is important in Statistics because
when the sample size is large regardless of the distribu-
it enables reasonably accurate probabilities to be deter-
tion of the variable.
mined for events involving the sample average
The distribution of values taken by a statistic in all possible
samples of the same size from the same population is the The sample
sampling distribution of
Which of these best describes a sampling distribution of It is the distribution of all of the statistics calculated from
a statistic? all possible samples of the same sample size.
The probability distribution of all possible values of the
sampling distribution of p.
sample proportion is the
For a fixed confidence level and population standard de-
viation, if we would like to cut our margin of error in half, four times as large as the original sample size.
we should take a sample size that is
We can reduce the margin of error in an interval estimate
increasing the planning value p* to .5.
of p by doing any of the following except
When computing the sample size needed to estimate a
proportion within a given margin of error for a specific
0.50
confidence level, what planning value of p should be used
when no estimate of p is available?
A statistics teacher started class one day by drawing the
names of 10 students out of a hat and asked them to do
as many pushups as they could. The 10 randomly selected A t distribution should be used because σ is unknown.
students averaged 15 pushups per person with a stan-
dard deviation of 9 pushups. Suppose the distribution of
, UCF QMB 3200 Final Exam Test Questions and Answers Rated A
the population of number of pushups that can be done is
approximately normal. Which of the following statements
is true?
The z value for a 99% confidence interval estimation is 2.58
In an interval estimation for a proportion of a population,
2.576.
the critical value of z at 99% confidence is
In interval estimation, as the sample size becomes larger, becomes narrower.In general, higher confidence levels
the interval estimate provide larger confidence intervals.
One way to have high confidence and a small margin of
increase the sample size.
error is to
From a population that is normally distributed, a sample
of 30 elements is selected and the standard deviation of
t distribution with 29 degrees of freedom.
the sample is computed. For the interval estimation of μ,
the proper distribution to use is the
As the number of degrees of freedom for a t distribution
increases, the ditterence between the t distribution and becomes smaller.
the standard normal distribution
The value added and subtracted from a point estimate in
order to develop an interval estimate of the population margin of error.
parameter is known as the
What is the symbol for the population mean? If the pop-
ulation follows a normal distribution, the confidence in-
terval is and can be used for any sample size. If
exact; approximate.
the population does not follow a normal distribution, the
confidence interval will be . Which of the following
choices correctly complete this statement?
The t value for a 99% confidence interval estimation based
3.250.
upon a sample of size 10 is