Sampling Distributions and the Central Limit Theorem:
The National Survey of Student Engagement asks college students
questions about the quality of their education. In 2018, NSSE
reported the following result about college freshman:
During the current school year, about how often have you used
numerical information to examine a real-world problem or issue
(unemployment, climate change, public health, etc.)?
Mean: 2.29 SD: .92
These results were based on a survey of over 500,000 students
from 725 institutions. Suppose we want...
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.
Explain Central Limit Theorem.
What is the sampling distribution of the mean?
Explain the differences between a discrete random variable and a
continuous random variable.
Activity One: Sampling Distribution and Central Limit
Theorem
In each situation, nominate whether the sampling distribution of
the sample mean can be assumed to be normally distributed or
not?
The population age is normally distributed, with a mean of 45
years and standard deviation of 12 years. These statistics are
based on 25 observations.
The population sales are uniformly distributed, with a mean of
$600 and standard deviation of $2. These statistics are based on 12
observations.
The population time...
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 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?