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UCF QMB 3200 Final Exam.
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- Exam 1 Qmb 3200 - Gary Bliss/ Ansel Diama
UCF QMB 3200 Final Exam.
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UCF QMB 3200 Final ExamDoubling the size of the sample will - ANS-reduce the standard error of the mean
The sample mean is the point estimator of - ANS-U
A simple random sample of size n from an infinite population of size N is to be selected.
Each possible sample should have - ANS-the same probability of being selected
Which of the following statements regarding the sampling distribution of sample means
is incorrect? - ANS-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 - ANS-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
- ANS-central limit theorem.
Cluster sampling is - ANS-a probability sampling method.
The central limit theorem states that - ANS-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 -
ANS-sample statistic
The sampling distribution of is the - ANS-probability distribution of all possible values of
the sample proportion.
Which of the following is not a symbol for a parameter? - ANS-S.
The sample statistic characteristic s is the point estimator of - ANS-σ..
The distribution of values taken by a statistic in all possible samples of the same size
from the same population is called a - ANS-sampling distribution.
,Which of the following is a point estimator? - ANS-S.
As a rule of thumb, the sampling distribution of the sample proportion can be
approximated by a normal probability distribution when - ANS-n(1 - p) ≥ 5 and np ≥ 5.
A sample of 92 observations is taken from an infinite population. The sampling
distribution of is approximately - ANS-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 -
ANS-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 - ANS-The sample
Which of these best describes a sampling distribution of a statistic? - ANS-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 -
ANS-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 - ANS-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 - ANS-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? - ANS-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? - ANS-A t distribution
should be used because σ is unknown.
, The z value for a 99% confidence interval estimation is - ANS-2.58
In an interval estimation for a proportion of a population, the critical value of z at 99%
confidence is - ANS-2.576.
In interval estimation, as the sample size becomes larger, the interval estimate -
ANS-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 - ANS-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 - ANS-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 - ANS-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 - ANS-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? - ANS-exact;
approximate.
The t value for a 99% confidence interval estimation based upon a sample of size 10 is -
ANS-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
- ANS-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 - ANS-becomes wider.
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