The weights of newborn children in the United States vary according to the Normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds. A study of learning in early childhood chooses an SRS of 3 children. 1. Is it okay to use normal calculations for this problem? Explain
2. Describe the sampling distribution
3. What is the probability that the mean birth weight of an SRS of 3 children is less than 5.5 pounds? Draw and shade the appropriate normal curve and find the probability. You must find a z-score and write a conclusion in context.