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Doubling the size of the sample will - ANSWER-reduce the standard error
of the mean
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..
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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.
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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? - 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? - ANSWER-A t
distribution should be used because σ is unknown.
The z value for a 99% confidence interval estimation is - ANSWER-2.58
In an interval estimation for a proportion of a population, the critical value of
z at 99% confidence is - ANSWER-2.576.
In interval estimation, as the sample size becomes larger, the interval
estimate - 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 -
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 - 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 -
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 -
ANSWER-margin of error.