QMB 3200 FINAL 2027 ANSWERS AND QUESTIONS
SET A+
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.
✔✔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.
✔✔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.
✔✔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.
✔✔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 - ✔✔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 - ✔✔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 - ✔✔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? - ✔✔exact;
approximate.
✔✔The t value for a 99% confidence interval estimation based upon a sample of size 10
is - ✔✔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
- ✔✔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 - ✔✔becomes wider.
SET A+
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.
✔✔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.
✔✔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.
✔✔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.
✔✔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 - ✔✔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 - ✔✔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 - ✔✔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? - ✔✔exact;
approximate.
✔✔The t value for a 99% confidence interval estimation based upon a sample of size 10
is - ✔✔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
- ✔✔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 - ✔✔becomes wider.
