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According to the article Are Babies Normal? by Traci Clemons and Marcello Pagano published in The American Statistician, Vol. 53, No. 4, pp. 298-302, the

According to the article "Are Babies Normal?" by Traci Clemons and Marcello Pagano published in The American Statistician, Vol. 53, No. 4, pp. 298-302, the birth weights of babies are normally distributed with a mean of 3353 grams and a standard deviation of 576 grams.

  1. What is the probability that a randomly selected baby weighs between 3000 grams and 3700 grams? Round your answer to 4 decimal places.
  2. What is the probability that the average weight of 27 randomly selected babies is between 3000 grams and 3700 grams? Round your answer to 4 decimal places.

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