In the United States, birth weights of newborn babies are approxima itely normally distributed with a mean of mu =3,500 g and a standard deviation of sigma =500g According to the empirical rule, 68% of all newborn babies in the United States weigh between square and square

To find the range in which 68% of all newborn babies in the United States weigh, we can use the empirical rule, also known as the 68-95-99.7 rule for normal distributions.<br /><br />According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean. In this case, the mean is $\mu = 3,500$ grams and the standard deviation is $\sigma = 500$ grams.<br /><br />Therefore, 68% of all newborn babies in the United States weigh between $\mu - \sigma$ and $\mu + \sigma$.<br /><br />Calculating this, we have:<br />$\mu - \sigma = 3,500 - 500 = 3,000$ grams<br />$\mu + \sigma = 3,500 + 500 = 4,000$ grams<br /><br />So, 68% of all newborn babies in the United States weigh between 3,000 grams and 4,000 grams.