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.

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows.direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow.fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.