Summarize the implications of the central limit
theorem. What is the most important application of it...
Summarize the implications of the central limit
theorem. What is the most important application of it and explain
why? please be detailed in your response and give examples.
What is the Central Limit Theorem? Discuss an example of its
application.
What is meant by sampling distribution of the sample
proportion?
What are confidence intervals?
How do you construct confidence intervals?
For this discussion, you will reflect on the application of the
central limit theorem to research. Develop a main response in which
you address the following Summarize the implications of the central
limit theorem. Identify what you believe to be the most important
application of it. Explain your position, providing examples where
possible. Post your main response in accordance with the time frame
outlined below, and then reply to the main responses of at least
two other students.
This week we’ve introduced the central limit theorem. According to
the central limit theorem, for all samples of the same size n with
n>30, the sampling distribution of x can be approximated by a
normal distribution.
In your initial post
use your own words to explain what this theorem means. Then provide
a quick example to explain how this theorem might apply in real
life. At last, please share with us your thoughts about why this
theorem is important.
1.What is the central limit theorem and why is it important in
statistics? 2.Explain the differences between the mean, mode and
median. Which is the most useful measure of an average and why?
3.Which is a more useful measure of central tendency for stock
returns – the arithmetic mean or the geometric mean? Explain your
answer.
Central limit theorem is important because?
For a large , it says the population is approximately
normal.
For a large , it says the sampling distribution of the sample
mean is approximately normal, regardless of the shape of the
population.
For any population, it says the sampling distribution of the
sample mean is approximately normal, regardless of the sample
size.
For any sized sample, it says the sampling distribution of the
sample mean is approximately normal.
The central limit theorem is an important concept in research.
It allows several key assumptions to be made, and facilitates
several key practices.
Implications
For this discussion, you will reflect
on the application of the central limit theorem to research.
Develop the main response in which you address the following
Summarize the implications of the central limit theorem.
Identify what you believe to be the most important application
of it.
Explain your position, providing examples where possible.
Give as much...