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A short statistical reasoning test


Here are a few practical questions of my own invention which are easy to comprehend but very difficult to solve without statistical reasoning competence. They are provided in order of difficulty.

Here are a few practical questions of my own invention which are easy to comprehend but very difficult to solve without statistical reasoning competence. You’ve decided to estimate the number of distinct buses with routes passing through your local bus stop. There are many specific ways to produce a confidence interval for \(p\), the lower bound of which can be used to order the fractions, and so control the risk of over-estimation.

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