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content/01-Topics/00-Math-Foundation/06-QA.md

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## Question: Comparing `X` and `` as Estimators of the Mean
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## Q: Comparing `X` and `` as Estimators of the Mean
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Answer:
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### Goal
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- But $(\bar{X})$ is far more **reliable** due to lower variance
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-**Use $(\bar{X})$** when you have more than one sample
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## Question: **Why is $( \mathbb{E}[X] = \mu)$** if (X) is just a **single observation**?
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## Q: **Why is $( \mathbb{E}[X] = \mu)$** if (X) is just a **single observation**?
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### The Key Distinction: **Random Variable** vs **Realized Value**
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When we write:

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