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.

Workspace

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Workspace Information:

  • Default file path:
  • Workspace type: jupyter
  • Opened files (when workspace is loaded): n/a

QUIZ QUESTION: :

Match each description to the correct corresponding value.

ANSWER CHOICES:



Description

Value

9874.97

6507061.77

9955.77

SOLUTION:

Description

Value

9874.97

6507061.77

9955.77

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

SOLUTION: No