QMB 3200 Final Test Questions and Verified
Answers (Graded A+)
• 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.
Answers (Graded A+)
• 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.
