Researches are interested in whether or not the average fuel economy for compact cars is the same as sedan cars. A sample of 36 compact cars and 25 sedan cars is taken. The sample of compacts returns a mean of X 38 miles per gallon and sample variance of s2-25. The sample of sedans returns a sample mean Y 36 with a sample variance of s 49. Let be the population mean of compacts and ?2 for sedans. a. Create a 95% confidence interval for . b. Now create a 95% confidence interval for ?1-112 c. Say the interval from part b. contains 0. What can you say about the difference in the average fuel economy of compact cars versus economy cars.

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?