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 is recorded in BirthWeightsTwoVar2.xlsx (Links to an external site.). Let μ1 be the mean weight of babies born to African-born mothers and let μ2 be the mean weight of babies born to US-born mothers. Create a 95% confidence interval for μ1−μ2, 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 your answers for the margin of error, lower bound, and upper bound.