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According to the article Are Babies Normal by Traci Clemons and Marcello Pagano published in...

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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 birth weights of babies are normally distributed with a mean of 3314 grams and a standard deviation of 563 grams a What is the probability that a randomly selected baby weighs between 3100 grams and 3700 grams Round your answer to 4 decimal places b If we randomly select 12 babies and average their weights write about and check each of the conditions needed to use the Central Limit Theorem in context Conditions c What is the probability that the average weight of 12 randomly selected babies is between 3100 grams and 3700 grams Round your answer to 4 decimal places d Why did the probability increase O The probability increased since the sample size increased and the sample means are more concentrated near the mean of 3314 grams O The probability increased since the sample size increased and the distribution of sample means is more spread out

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