A study was conducted in which researchers obtained birth weights of infants born in Illinois during the same year. The birth weights are categorized based on the race and birthplace of the mother. Researchers want to know if there is a difference in mean birth weights of babies born to black women who were born in the United States and babies born to black women who were born in Africa. Values were recorded (in grams) for each infant born. Open the data file BirthWeightsTwoVar. Use this information to answer questions 13 and 14.Create a 95% confidence interval for the difference in the mean birth weights of infants born to African-born mothers (Group 1) compared to infants born to US-born mothers (Group 2). Give your answer accurate to three decimal places. [Example: (42.335, 54.859)]Give the lower bound.