According to the article Are Babies Normal by Traci Clemons and Marcello Pagano published in The American Statistician Vol 53 No

Question

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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