Question: Philippe is a French artisan specialized in building high-detail replicas of the Tour Eiffel. His replicas weigh on average 180 grams, with a standard deviation of 5 grams. The retailer that buys his creations demands upper and lower specification limits of 185 and 175 grams respectively, Suppose Philippe wanted to improve its quality and bring the number of defective units to 27 every 10,000 units produced. What would be new standard deviation he needs to achieve to meet this target?