Questions

• Explain the scope of the central limit theorem. What do we want to know about the sum of a set of random variables
• State the central limit theorem, ensuring that you define all the terms within the equation.
• Explain the rationale for writing the central limit theorem without the limit sign
• In order for the central limit theorem to have any predictive value what must we be able to say about the expectation and variance of our random variable.
• Explain what we mean by a confidence limit and the meanings of the symbols $\epsilon$ and $p_c$ that are introduced in the video.
• Explain in your own words why $p_c = 2\Phi\left( \frac{ \epsilon}{\sigma / \sqrt{n}} \right) - 1$
• If I perform 20 measurements of some random quantity $X$ how many of my measurements would I expect to lie within the 95 % confidence interval.