21. Notebook + Quiz: Central Limit Theorem - Part III

Central Limit Theorem - Part III

You saw how the Central Limit Theorem worked for the sample mean in the earlier concept. The Central Limit Theorem states that with a large enough sample size the sampling distribution of the mean will be normally distributed.

The Central Limit Theorem actually applies for these well known statistics:

  1. Sample means (\bar{x})
  2. Sample proportions (p)
  3. Difference in sample means (\bar{x}_1 - \bar{x}_2)
  4. Difference in sample proportions (p_1 - p_2)

And it applies for additional statistics, but it doesn't apply for all statistics! . Here, you will simulate the sampling distribution for the sample variance. Try out the notebook and quizzes.

Code

If you need a code on the https://github.com/udacity.

QUIZ QUESTION::

Match each description to the correct corresponding value.

ANSWER CHOICES:



Description

Value

The variance of the population.

The mean of the sampling distribution for the sample variance.

The variance of the sampling distribution for the sample variance.

SOLUTION:

Description

Value

The variance of the sampling distribution for the sample variance.

The mean of the sampling distribution for the sample variance.

The variance of the population.

Does the sampling distribution for the variance of 100 draws appear to be normally distributed?

SOLUTION: No