The Owners of the Burger Emporium Are Looking for New

Essay

The owners of the Burger Emporium are looking for new supplier of tomatoes for their famous hamburgers. It is important that the tomato slice be roughly the same diameter as the hamburger patty. After careful analysis, they determine that they can only use tomatoes with diameters between 9 and 10 cm. Company A provides tomatoes with diameters that are approximately normally distributed with mean 10.5 cm and standard deviation of 1.1 cm. Company B provides tomatoes with diameters that are approximately normally distributed with mean 10.3 cm and standard deviation of 0.8 cm. Which company provides the higher proportion of usable tomatoes? Justify your choice with an appropriate statistical argument.