You are designing a study to look at birth outcomes of teenage pregnancies. The first variable you want to evaluate is birth weight. You want to know how many teenage mothers you need to sample in order to accurately estimate the confidence interval for the mean birth weight of babies born to mothers age 15 and under. Your confidence interval is 95% and your margin of error cannot exceed 100 g. Based on information you have obtained from the State Office of Vital Records you have an estimated mean birth weight of 3300 g with a standard deviation of 270 g. Conduct a sample size calculation. What is the smallest number of teenage mothers you will need to make an accurate estimate