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. The data are recorded in the file IllinoisBirthWeightsTwoVar.xlsx. Let be the mean weight of babies born to African-born mothers and let be the mean weight of babies born to US-born mothers. 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). Input the lower bound. (Round to three decimal places)