Captain Ben flies small passenger jets. These jets carry 50 passengers, plus their luggage. On a full flight, these jets will perform properly as long as the total weight of passengers’ checked baggage does not exceed 5000 pounds on average. Ben is concerned that passengers on a particular flight have brought unusually heavy bags. He selects a random sample of 10 passengers and weighs their checked baggage. Based on the results from this sample, he must decide whether it is safe to take off. Explain the consequences of each type of error. Which is the most serious? If you had to choose one of the "standard" significance levels for your significance test, would you choose α = 0.01, 0.05, or 0.10? Justify your choice.
Captain Ben flies small passenger jets. These jets carry 50 passengers, plus their luggage. On a full flight, these jets will perform properly as long as the total weight of passengers’ checked baggage does not exceed 5000 pounds on average. Ben is concerned that passengers on a particular flight have brought unusually heavy bags. He selects a random sample of 10 passengers and weighs their checked baggage. Based on the results from this sample, he must decide whether it is safe to take off.
Explain the consequences of each type of error. Which is the most serious?
If you had to choose one of the "standard" significance levels for your significance test, would you choose α = 0.01, 0.05, or 0.10? Justify your choice.
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