UCF QMB 3200 Final Exam Question and
Verified Detailed Answers Latest
2024/2025 Update
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 population of size N is to be
selected. Each possible sample should have - ✔✔the same probability of being
selected
Which of the following statements regarding the sampling distribution of
sample means is incorrect? - ✔✔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 - ✔✔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 - ✔✔central limit theorem.
Cluster sampling is - ✔✔a probability sampling method.
1|Page
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,The central limit theorem states that - ✔✔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 - ✔✔sample statistic
The sampling distribution of is the - ✔✔probability distribution of all possible
values of the sample proportion.
Which of the following is not a symbol for a parameter? - ✔✔S.
The sample statistic characteristic s is the point estimator of - ✔✔σ..
The distribution of values taken by a statistic in all possible samples of the same
size from the same population is called a - ✔✔sampling distribution.
Which of the following is a point estimator? - ✔✔S.
As a rule of thumb, the sampling distribution of the sample proportion can be
approximated by a normal probability distribution when - ✔✔n(1 - p) ≥ 5 and np
≥ 5.
A sample of 92 observations is taken from an infinite population. The sampling
distribution of is approximately - ✔✔normal because of the central limit
theorem.
2|Page
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,The central limit theorem is important in Statistics because it enables
reasonably accurate probabilities to be determined for events involving the
sample average - ✔✔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 - ✔✔The sample
Which of these best describes a sampling distribution of a statistic? - ✔✔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
- ✔✔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 - ✔✔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 - ✔✔increasing the planning value p* to .5.
3|Page
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, 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? - ✔✔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? - ✔✔A t distribution should be used because σ is unknown.
The z value for a 99% confidence interval estimation is - ✔✔2.58
In an interval estimation for a proportion of a population, the critical value of z
at 99% confidence is - ✔✔2.576.
In interval estimation, as the sample size becomes larger, the interval estimate -
✔✔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 - ✔✔increase
the sample size.
4|Page
©NINJANERD 2025/2026. YEAR PUBLISHED 2025.
Verified Detailed Answers Latest
2024/2025 Update
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 population of size N is to be
selected. Each possible sample should have - ✔✔the same probability of being
selected
Which of the following statements regarding the sampling distribution of
sample means is incorrect? - ✔✔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 - ✔✔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 - ✔✔central limit theorem.
Cluster sampling is - ✔✔a probability sampling method.
1|Page
©NINJANERD 2025/2026. YEAR PUBLISHED 2025.
,The central limit theorem states that - ✔✔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 - ✔✔sample statistic
The sampling distribution of is the - ✔✔probability distribution of all possible
values of the sample proportion.
Which of the following is not a symbol for a parameter? - ✔✔S.
The sample statistic characteristic s is the point estimator of - ✔✔σ..
The distribution of values taken by a statistic in all possible samples of the same
size from the same population is called a - ✔✔sampling distribution.
Which of the following is a point estimator? - ✔✔S.
As a rule of thumb, the sampling distribution of the sample proportion can be
approximated by a normal probability distribution when - ✔✔n(1 - p) ≥ 5 and np
≥ 5.
A sample of 92 observations is taken from an infinite population. The sampling
distribution of is approximately - ✔✔normal because of the central limit
theorem.
2|Page
©NINJANERD 2025/2026. YEAR PUBLISHED 2025.
,The central limit theorem is important in Statistics because it enables
reasonably accurate probabilities to be determined for events involving the
sample average - ✔✔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 - ✔✔The sample
Which of these best describes a sampling distribution of a statistic? - ✔✔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
- ✔✔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 - ✔✔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 - ✔✔increasing the planning value p* to .5.
3|Page
©NINJANERD 2025/2026. YEAR PUBLISHED 2025.
, 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? - ✔✔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? - ✔✔A t distribution should be used because σ is unknown.
The z value for a 99% confidence interval estimation is - ✔✔2.58
In an interval estimation for a proportion of a population, the critical value of z
at 99% confidence is - ✔✔2.576.
In interval estimation, as the sample size becomes larger, the interval estimate -
✔✔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 - ✔✔increase
the sample size.
4|Page
©NINJANERD 2025/2026. YEAR PUBLISHED 2025.
