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UCF QMB 3200 Final Exam
Questions and Answers A+ Graded
(2025)
Doubling the size of the sample will - CORRECT ANSWER-reduce the standard
error of the mean
The sample mean is the point estimator of - CORRECT ANSWER-U
A simple random sample of size n from an infinite population of size N is to be
selected. Each possible sample should have - CORRECT ANSWER-the same
probability of being selected
Which of the following statements regarding the sampling distribution of sample
means is incorrect? - CORRECT ANSWER-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 - CORRECT ANSWER-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 - CORRECT ANSWER-central limit theorem.
Cluster sampling is - CORRECT ANSWER-a probability sampling method.
The central limit theorem states that - CORRECT ANSWER-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 -
CORRECT ANSWER-sample statistic
The sampling distribution of is the - CORRECT ANSWER-probability distribution
of all possible values of the sample proportion.
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Which of the following is not a symbol for a parameter? - CORRECT ANSWER-S.
The sample statistic characteristic s is the point estimator of - CORRECT
ANSWER-σ..
The distribution of values taken by a statistic in all possible samples of the same
size from the same population is called a - CORRECT ANSWER-sampling
distribution.
Which of the following is a point estimator? - CORRECT ANSWER-S.
As a rule of thumb, the sampling distribution of the sample proportion can be
approximated by a normal probability distribution when - CORRECT ANSWER-n(1
- p) ≥ 5 and np ≥ 5.
A sample of 92 observations is taken from an infinite population. The sampling
distribution of is approximately - CORRECT ANSWER-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 -
CORRECT ANSWER-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 - CORRECT
ANSWER-The sample
Which of these best describes a sampling distribution of a statistic? - CORRECT
ANSWER-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 -
CORRECT ANSWER-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 - CORRECT
ANSWER-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 - CORRECT ANSWER-increasing the planning value p* to .5.
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? - CORRECT ANSWER-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
, mailto:://www.stuvia.com/user/BRAINSCAPE1
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? - CORRECT ANSWER-A t distribution should be used
because σ is unknown.
The z value for a 99% confidence interval estimation is - CORRECT ANSWER-2.58
In an interval estimation for a proportion of a population, the critical value of z at
99% confidence is - CORRECT ANSWER-2.576.
In interval estimation, as the sample size becomes larger, the interval estimate -
CORRECT ANSWER-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 - CORRECT
ANSWER-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
estimation of μ, the proper distribution to use is the - CORRECT ANSWER-t
distribution with 29 degrees of freedom.
As the number of degrees of freedom for a t distribution increases, the difference
between the t distribution and the standard normal distribution - CORRECT
ANSWER-becomes smaller.
The value added and subtracted from a point estimate in order to develop an
interval estimate of the population parameter is known as the - CORRECT
ANSWER-margin of error.
What is the symbol for the population mean? If the population follows a normal
distribution, the confidence interval is _____ and can be used for any sample
size. If the population does not follow a normal distribution, the confidence
interval will be _____. Which of the following choices correctly complete this
statement? - CORRECT ANSWER-exact; approximate.
The t value for a 99% confidence interval estimation based upon a sample of size
10 is - CORRECT ANSWER-3.250.
To compute the necessary sample size for an interval estimate of a population
proportion, all of the following procedures are recommended when p is unknown
except - CORRECT ANSWER-using .95 as an estimate.
Using an α = .04, a confidence interval for a population proportion is determined
to be .65 to .75. If the level of significance is decreased, the interval for the
population proportion - CORRECT ANSWER-becomes wider.
UCF QMB 3200 Final Exam
Questions and Answers A+ Graded
(2025)
Doubling the size of the sample will - CORRECT ANSWER-reduce the standard
error of the mean
The sample mean is the point estimator of - CORRECT ANSWER-U
A simple random sample of size n from an infinite population of size N is to be
selected. Each possible sample should have - CORRECT ANSWER-the same
probability of being selected
Which of the following statements regarding the sampling distribution of sample
means is incorrect? - CORRECT ANSWER-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 - CORRECT ANSWER-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 - CORRECT ANSWER-central limit theorem.
Cluster sampling is - CORRECT ANSWER-a probability sampling method.
The central limit theorem states that - CORRECT ANSWER-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 -
CORRECT ANSWER-sample statistic
The sampling distribution of is the - CORRECT ANSWER-probability distribution
of all possible values of the sample proportion.
,mailto:://www.stuvia.com/user/BRAINSCAPE1
Which of the following is not a symbol for a parameter? - CORRECT ANSWER-S.
The sample statistic characteristic s is the point estimator of - CORRECT
ANSWER-σ..
The distribution of values taken by a statistic in all possible samples of the same
size from the same population is called a - CORRECT ANSWER-sampling
distribution.
Which of the following is a point estimator? - CORRECT ANSWER-S.
As a rule of thumb, the sampling distribution of the sample proportion can be
approximated by a normal probability distribution when - CORRECT ANSWER-n(1
- p) ≥ 5 and np ≥ 5.
A sample of 92 observations is taken from an infinite population. The sampling
distribution of is approximately - CORRECT ANSWER-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 -
CORRECT ANSWER-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 - CORRECT
ANSWER-The sample
Which of these best describes a sampling distribution of a statistic? - CORRECT
ANSWER-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 -
CORRECT ANSWER-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 - CORRECT
ANSWER-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 - CORRECT ANSWER-increasing the planning value p* to .5.
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? - CORRECT ANSWER-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
, mailto:://www.stuvia.com/user/BRAINSCAPE1
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? - CORRECT ANSWER-A t distribution should be used
because σ is unknown.
The z value for a 99% confidence interval estimation is - CORRECT ANSWER-2.58
In an interval estimation for a proportion of a population, the critical value of z at
99% confidence is - CORRECT ANSWER-2.576.
In interval estimation, as the sample size becomes larger, the interval estimate -
CORRECT ANSWER-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 - CORRECT
ANSWER-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
estimation of μ, the proper distribution to use is the - CORRECT ANSWER-t
distribution with 29 degrees of freedom.
As the number of degrees of freedom for a t distribution increases, the difference
between the t distribution and the standard normal distribution - CORRECT
ANSWER-becomes smaller.
The value added and subtracted from a point estimate in order to develop an
interval estimate of the population parameter is known as the - CORRECT
ANSWER-margin of error.
What is the symbol for the population mean? If the population follows a normal
distribution, the confidence interval is _____ and can be used for any sample
size. If the population does not follow a normal distribution, the confidence
interval will be _____. Which of the following choices correctly complete this
statement? - CORRECT ANSWER-exact; approximate.
The t value for a 99% confidence interval estimation based upon a sample of size
10 is - CORRECT ANSWER-3.250.
To compute the necessary sample size for an interval estimate of a population
proportion, all of the following procedures are recommended when p is unknown
except - CORRECT ANSWER-using .95 as an estimate.
Using an α = .04, a confidence interval for a population proportion is determined
to be .65 to .75. If the level of significance is decreased, the interval for the
population proportion - CORRECT ANSWER-becomes wider.
