Question

Suppose we repeatedly take samples of size 100 from the
population distribution, calculate a sample mean each time, and
plot those sample means in a histogram. The histogram we created
would be an example of a (variable, population, distribution,
sampling distribution???) . According to the central limit theorem,
the histogram would have a shape that is approximately (left
skewed, right skewed or normal???) , with mean (give a
number???) and standard deviation (give a number??). The
standard deviation of the statistic under repeated sampling is
called the (absolute error, standard error, deviation, absolute
deviation???). The middle 95% of the histogram we created lies
between and (give numbers for both blanks
with the smaller number listed first???).

Answer #1

Random samples of size n were selected from a
normal population with the means and variances
given here.
n = 25, μ = 12, σ2 = 9
Describe the shape of the sampling distribution of the sample
mean.
a. The distribution is normal
b. The distribution is skewed left
c. The distribution is bimodal
d. The distribution is uniform
e. The distribution is skewed right
Find the mean and the standard error of the sampling
distribution of the sample mean....

Assume for a moment that we have a population distribution that
is negatively skewed. Which probability distribution becomes normal
as the size of the sample increases?
population distribution
sample distribution
sampling distribution
None of the above
The standard error of the mean refers to the standard deviation
of the...
normal distribution
population
sample
sampling distribution
None of the above
Which type of error can be quantitatively measured:
sampling error
non-sampling error
both
neither
The purpose of statistical inference is to...

A random sample of size n = 40 is selected from a binomial
distribution with population proportion p = 0.25. (a) What will be
the approximate shape of the sampling distribution of p̂?
approximately normal skewed symmetric Correct: Your answer is
correct. (b) What will be the mean and standard deviation (or
standard error) of the sampling distribution of p̂? (Round your
answers to four decimal places.) mean 0.25 Correct: Your answer is
correct. standard deviation 0.0685 Correct: Your answer...

Suppose the process of taking random samples of size 30 is
repeated 200 time and a histogram of 200 sample means is created.
Would the histogram be an approximate display of the populations
distribution, the distribution of a sample or the sampling
distribution om means?
A. sampling distribution of means
B. population distribution
C. distribution of a sample

A random sample of size n = 50 is selected from a
binomial distribution with population proportion
p = 0.8.
Describe the approximate shape of the sampling distribution of
p̂.
Calculate the mean and standard deviation (or standard error) of
the sampling distribution of p̂. (Round your standard
deviation to four decimal places.)
mean =
standard deviation =
Find the probability that the sample proportion p̂ is
less than 0.9. (Round your answer to four decimal places.)

A random sample of size 30 is selected from a known population
with a mean of 13.2 and a standard deviation of 2.1. Samples of the
same size are repeatedly collected, allowing a sampling
distribution of sample means to be drawn.
a. What is the expected shape of the resulting distribution?
b. Where is the sampling distribution of sample means
centered?
c. What is the approximate standard deviation of the sample
means?
2. The lifetimes of a certain type of...

suppose we collect samples of size 49 from an
exponentially distributed population with mean 0.2 and variance
0.04. what would be the mean and the standard deviation of the
sampling distribution of the mean?

Subject; Statistics
PROBLEM : Random samples of size 50 are repeatedly drawn from a
Normal distribution with a mean 25 and a standard deviation 8.
⑴ What is the sampling distribution of .
⑵ What is the mean of the distribution in ⑴?
⑶ What is the standard deviation of the distribution in ⑴?
⑷ What is the probability for the sample mean to be in the
interval from 20 to 30?

Suppose that we will randomly select a sample of n = 88 elements
from a population and that we will compute the sample proportion of
these elements that fall into a category of interest. If the true
population proportion p equals .9: (a) Describe the shape of the
sampling distribution of . Why can we validly describe the shape?
(b) Find the mean and the standard deviation of the sampling
distribution of . (Round the answers to 2 decimal places.)

Suppose that we will randomly select a sample of n =
117 elements from a population and that we will compute the sample
proportion
of these elements that fall into a category of
interest. If the true population proportion p equals
.7:
(a) Describe the shape of the sampling
distribution of
. Why can we validly describe the shape?
(b) Find the mean and the standard deviation of
the sampling distribution of
. (Round the answers to 2 decimal places.)

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