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# Central Limit Theorem and Hypothesis Testing

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Author: Al Greene
##### Description:

This learning packet should review:

• New terms and definitions
• Review confidence intervals, hypothesis tests and a normal distribution
• Understand and explain the Student’s t distribution, history and usage and when to use the Student’s t methods
• Define and explain the Central Limit Theorem and important uses of the theorem

This packet introduces the central limit theorem and Student's t distribution, two very important concepts in statistics. It also relates them to terms you have already seen, such as confidence intervals and hypothesis testing.

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Tutorial

## New Terms

In this packet, we will be introduced to the following terms:

• Student's t distribution
• Central Limit Theorem
• Analysis of Variance

Some terms that should already be known are:

• Hypothesis Testing
• Confidence Interval

Source: Greene

## Central Limit Theorem and Hypothesis Testing

This video discusses the central limit theorem, student's t distribution, how they relate to confidence intervals and hypothesis testing, and introduces the idea of Analysis of Variance (ANOVA).

Source: Greene

## Central Limit Theorem

This shows a fun demonstration on how the central limit theorem works.