Question

You started with a normally distributed population of extraversion scores. You are also interested in depression scores. The measure of depression is not normally distributed but skewed with a mean of M = 8.08 and a standard deviation of S.D = 6.22. According to the central limit theorem, what would you expect for the mean and standard deviation of the distribution of sample means for samples of a size of 25 from a positively skewed population with M = 8.08 and S.D = 6.22.

Answer #1

Solution :

Given that ,

mean = = 8.08

standard deviation = = 6.22

n = 25

_{}
=
= 8.08

_{}
=
/
n = 6.22/
25 = 1.244

The central limit theorem (CLT) predicts that sampling from a
normally distributed population results in a normally distributed
SDM. What would the shape of the SDM be if the population is
Skewed? Why?

Using the central limit theorem, what is the distribution of
sample means when the population distribution is the
following?
Part (a)
rectangular
Part (b)
normally distributed
Part (c)
positively skewed
Part (d)
nonmodal
Part (e)
multimodal
Part (f)
negatively skewed

The heights of fully grown trees of a specific species are
normally distributed, with a mean of 72.5 feet and a standard
deviation of 7.50 feet. Random samples of size 15 are drawn from
the population. Use the central limit theorem to find the mean and
standard error of the sampling distribution. Then sketch a graph of
the sampling distribution.

IQ scores are normally distributed with a mean of 100 and a
standard deviation of 16. Assume that many samples of size n are
taken from a large population of people and the mean IQ score is
computed for each sample. a. If the sample size is n=49, find the
mean and standard deviation of the distribution of sample means.
The mean of the distribution of sample mean is?

The heights of fully grown trees of a specific species are
normally distributed, with a mean of 61.0 feet and a standard
deviation of 6.00 feet. Random samples of size 19 are drawn from
the population. Use the central limit theorem to find the mean and
standard error of the sampling distribution. Then sketch a graph of
the sampling distribution. The mean of the sampling distribution is
?. The standard error of the sampling distribution is ?

IQ scores are normally distributed with a mean of 105 and a
standard deviation of 15. Assume that many samples of size n are
taken from a large population of people and the mean IQ score is
computed for each sample
a. If the sample size is n equals= 64, find the mean and
standard deviation of the distribution of sample
means.
The mean of the distribution of sample means is: 105
The standard deviation of the distribution of sample...

The heights of fully grown trees of a specific species are
normally distributed, with a mean of 78.5 feet and a standard
deviation of 7.50 feet. Random samples of size 17 are drawn from
the population. Use the central limit theorem (CLT) to find the
mean and standard error of the sampling distribution. The mean of
the sampling distribution is mu Subscript x overbarequals nothing.
The standard error of the sampling distribution is Ooverbarre
is

If scores in a population are normally distributed, what
percentage of scores are within one standard deviation of the
mean?
a. 2.5%
b. 16%
c. 68%
d. 95%

If I took all possible
samples of N=50 from the population of undergraduate students in
the US, found the mean height for each sample, and plotted the
distribution of those sample means, the result would be a
central limit
theorem
sampling distribution
of the mean
cumulative frequency
distribution
skewed frequency
distribution
40 men participating
in a study reported how angry they felt at the end of each day for
2 weeks. For the first week 20 of the men were...

1.) Suppose we have a normally distributed population of scores
with mean 150 and standard deviation 52. We know the
standard error of the mean is 4. What is the value
of the sample size?
2.) Suppose we have a normally distributed population of scores
with mean 300 and standard deviation 45. We know the
standard error is 3. What is the value of the
sample size?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 18 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 21 minutes ago

asked 32 minutes ago

asked 43 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago