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1. Explain what is meant by the margin of error for a confidence interval. What error are we talking about in the context of an interval for m?

2. Explain exactly what we mean when we say that a sample of size n makes us 99 percent confident that x is within E units of m.

3. Why do we often need to take a preliminary sample when determining the size of the sample needed to make the margin of error of a confidence interval equal to E?

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