UCF QMB 3200 Final Exam questions with
correct answers
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.
,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 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.
correct answers
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.
,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 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.
