QMB 3200 UCF ACTUAL TEST PAPER
QUESTIONS AND SOLUTIONS COMPLETE
STUDY GUIDE
●● The sample mean is the point estimator of
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
Answer: the same probability of being selected
●● Which of the following statements regarding the sampling
distribution of sample means is incorrect?
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
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
Answer: central limit theorem.
●● Cluster sampling is
Answer: a probability sampling method.
●● The central limit theorem states that
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
Answer: sample statistic
●● The sampling distribution of is the
Answer: probability distribution of all possible values of the sample
proportion.
●● Which of the following is not a symbol for a parameter?
Answer: S.
,●● The sample statistic characteristic s is the point estimator of
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
Answer: sampling distribution.
●● Which of the following is a point estimator?
Answer: S.
●● As a rule of thumb, the sampling distribution of the sample
proportion can be approximated by a normal probability distribution
when
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
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
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
Answer: The sample
●● Which of these best describes a sampling distribution of a statistic?
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
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
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
Answer: increasing the planning value p* to .5.
QUESTIONS AND SOLUTIONS COMPLETE
STUDY GUIDE
●● The sample mean is the point estimator of
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
Answer: the same probability of being selected
●● Which of the following statements regarding the sampling
distribution of sample means is incorrect?
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
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
Answer: central limit theorem.
●● Cluster sampling is
Answer: a probability sampling method.
●● The central limit theorem states that
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
Answer: sample statistic
●● The sampling distribution of is the
Answer: probability distribution of all possible values of the sample
proportion.
●● Which of the following is not a symbol for a parameter?
Answer: S.
,●● The sample statistic characteristic s is the point estimator of
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
Answer: sampling distribution.
●● Which of the following is a point estimator?
Answer: S.
●● As a rule of thumb, the sampling distribution of the sample
proportion can be approximated by a normal probability distribution
when
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
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
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
Answer: The sample
●● Which of these best describes a sampling distribution of a statistic?
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
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
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
Answer: increasing the planning value p* to .5.