4. Researchers are interested in whether or not women who are part of a prenatal care program give birth to babies with a higher average birth weight than those who do not take part in the program. A random sample of hospital records indicates that the average birth weight for 75 babies born to mothers enrolled in a prenatal care program was 3100 grams. with a standard deviation of 420 g. A separate random sample of hospital records indicates that the average birth weight for 75 babies born to women who were not enrolled in the prenatal care program was 2570 grams with a standard deviation of 425 grams. a. Do these data provide convincing evidence that mothers who participate in a prenatal care program have babies with a higher average birth weight than those who do not? Justify your response