The birth of a baby is considered to be premature if the baby is born before 37 weeks of pregnancy have been completed. According to a study, 10% of babies born in the United States in a part year were premature. Suppose that a random sample of 57 babies born in the U.S. in this year will be selected. The proportion of the babies who were premature, p, will be calculated. (a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.) mean 0.10 standard deviation 0.0436 x (b) Is the sampling distribution of p approximately normal? Explain. The sampling distribution of p is not approximately normal because n(1 - p) is at least 10. The sampling distribution of p is not approximately normal because np is less than 10. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10. The sampling distribution of p is approximately normal because np and n(1 - p) are both less than 10. The sampling distribution of p is approximately normal because np and n(1 - p) are both at least 10. X (c) What is the smallest value of n for which the sampling distribution of p would be approximately normal? n = 10 x Submit Answer