UCF QMB 3200 FINAL EXAM QUESTIONS AND
ANSWERS 2025 GRADED A+.
Doubling the size of the sample will - (answers)reduce the standard error of the
mean
The sample mean is the point estimator of - (answers)U
A simple random sample of size n from an infinite population of size N is to be
selected. Each possible sample should have - (answers)the same probability of
being selected
Which of the following statements regarding the sampling distribution of sample
means is incorrect? - (answers)The standard deviation of the sampling
distribution is the standard deviation of the population.
A simple random sample of size n from an infinite population is a sample selected
such that - (answers)each element is selected independently and is selected from
the same population
The fact that the sampling distribution of sample means can be approximated by
a normal probability distribution whenever the sample size becomes large is
based on the - (answers)central limit theorem.
Cluster sampling is - (answers)a probability sampling method.
, 2
The central limit theorem states that - (answers)if the sample size n is large, then
the sampling distribution of the sample mean can be approximated by a normal
distribution.
The value of the _____ is used to estimate the value of the population parameter
- (answers)sample statistic
The sampling distribution of is the - (answers)probability distribution of all
possible values of the sample proportion.
Which of the following is not a symbol for a parameter? - (answers)S.
The sample statistic characteristic s is the point estimator of - (answers)σ..
The distribution of values taken by a statistic in all possible samples of the same
size from the same population is called a - (answers)sampling distribution.
Which of the following is a point estimator? - (answers)S.
As a rule of thumb, the sampling distribution of the sample proportion can be
approximated by a normal probability distribution when - (answers)n(1 - p) ≥ 5
and np ≥ 5.
, 3
A sample of 92 observations is taken from an infinite population. The sampling
distribution of is approximately - (answers)normal because of the central limit
theorem.
The central limit theorem is important in Statistics because it enables reasonably
accurate probabilities to be determined for events involving the sample average -
(answers)when the sample size is large regardless of the distribution of the
variable.
The distribution of values taken by a statistic in all possible samples of the same
size from the same population is the sampling distribution of - (answers)The
sample
Which of these best describes a sampling distribution of a statistic? - (answers)It
is the distribution of all of the statistics calculated from all possible samples of the
same sample size.
The probability distribution of all possible values of the sample proportion is the -
(answers)sampling distribution of p.
For a fixed confidence level and population standard deviation, if we would like to
cut our margin of error in half, we should take a sample size that is -
(answers)four times as large as the original sample size.
We can reduce the margin of error in an interval estimate of p by doing any of the
following except - (answers)increasing the planning value p* to .5.
, 4
When computing the sample size needed to estimate a proportion within a given
margin of error for a specific confidence level, what planning value of p should be
used when no estimate of p is available? - (answers)0.50
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 students averaged 15 pushups per person with a standard deviation of 9
pushups. Suppose the distribution of the population of number of pushups that
can be done is approximately normal. Which of the following statements is true? -
(answers)A t distribution should be used because σ is unknown.
The z value for a 99% confidence interval estimation is - (answers)2.58
In an interval estimation for a proportion of a population, the critical value of z at
99% confidence is - (answers)2.576.
In interval estimation, as the sample size becomes larger, the interval estimate -
(answers)becomes narrower.In general, higher confidence levels provide larger
confidence intervals.
One way to have high confidence and a small margin of error is to -
(answers)increase the sample size.
From a population that is normally distributed, a sample of 30 elements is
selected and the standard deviation of the sample is computed. For the interval