What are the valid comparisons and contrast between the results of the following raw data probabilities and the central limit theorem probabilities? Raw Data Probabilities of a six sided die rolled 60 times Results Probability of rolling at least a 4 0.5833 Probability of rolling at most a 3 0.4167 Central Limit Theorem N = 30 N = 45 Probability sample mean is at least 4 0.1220 0.0768 Probability sample mean is at most 3.5 0.2801 0.2378

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