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please answer all the questions, thank you! Suppose we have an experiment. We toss a coin m times. Each time we collect results from a

please answer all the questions, thank you!
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Suppose we have an experiment. We toss a coin m times. Each time we collect results from a sample of size n and compute this sample's mean \( \mu_{\text {_i }} \) and standard deviation o 1 . This experiment has an underlying distribution with mean and standard deviation o. Which of the following does the Central Limit Theorem (CLT) guarantee (for large enough n and m ): The sample means will be approximately normally distributed. The sample means will have a mean close to the mean of the original distribution . the sample means will have a variance close to the variance of the original distribution divided by the sample size ()2

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