1. A manufacturer makes aluminum cans and longneck bottles.The average diameter of an aluminum can is supposed to be 4.2 inches, with an allowable standard deviation of 0.01 inches.The average diameter on a longneck bottle is supposed to be 3.8 inches, with an allowable standard deviation of 0.02 inches.A factory worker randomly selects a can from the assembly line and it has a diameter of 4.3 inches.The worker then selects a bottle from the assembly line and it has a diameter of 3.75 inches.Which assemble line is closest to specifications. [Show work]
2. A large sample of English Labrador retrievers has a mean weight of 70.3 pounds with a standard deviation of 4.9 pounds.A similarly large sample of Siberian huskies has a mean weight of 48.8 pounds with a standard deviation of 3.5 pounds.Maggie, an English lab, is 74 pounds, and Scout, a Siberian husky, is 52 pounds.Which dog is larger with respect to the average weight of its breed? {Show work}