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How do researchers test claims about averages? Explain as if to a high school student how to test a claim about a mean.

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Question 1: How do researchers test claims about averages? Explain as if to a high school student how to test a claim about a mean.
Question 2: What is the difference between r and r2? Explain and provide example life science data sets, explaining when to use one or the other when interpreting data results.