[Solution Library] Using the Central Limit Theorem. In the following exercise, assume that men's weights are normally distributed with a mean of 172 lb and


Question: Using the Central Limit Theorem. In the following exercise, assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb:

  1. If 4 men are randomly selected, find the probability that they have a mean weight between 160 lb and 180 lb.
  2. Why can the central limit theorem be used in part (a), even though the sample size does not exceed 30?

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