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.
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.
What is the difference between a statistic and a parameter? If
the Central Limit Theorem is so important what is the key benefit
of having a sampling distribution that is normally distributed in
research? Explain what is meant by ‘sampling error’. How is this
important in statistical analysis?
1-What is the significance of central limit theorem?
2. Give an example where confidence interval must be used for
statistical inference.
3. Give an example where hypothesis testing must be used for
statistical inference.
4. What is P-value?
5. What is the relationship between hypothesis test and confidence
interval?
Question 4
What is the sampling distribution of the sample mean? Provide examples.
Question 5
What is the central limit theorem? Provide examples.
Question 6
What is the standard error of the mean? Provide examples.