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Subject:StatisticsPrice:2.86 Bought6

Dr. Nestle is selecting a machine to fill packets with hot chocolate mix. Machine 1 can fill 1000 packets per hour, with the packet weights being normally distributed with a population mean / of 1.35 ounces and a population standard deviation o of 0.05 ounces. Machine 2 can fill 1200 packets per hour, with the packet weights being normally distributed with a population mean / of 1.3 ounces and a population standard deviation o of 0.1 ounces. To be considered acceptable, packets weights must fall between 1.18 and 1.5 ounces. Unacceptable packets are considered waste and must be discarded. The two machines are the same price, cost the same amount to operate, have similar warranties, and take up the same amount of room. Which machine should Dr. Nestle purchase to maximize the production of acceptable packets?

 

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