3.
Captain Ben flies small passenger jets. These jets carry 50 passengers, plus their luggage. On a full
Aight, these jets
will
perform
properly as long as the total weight of passengers? checked baggage
does not exceed 5000 pounds.
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.
(a)
Ben wants to perform a test to determine whether the mean weight
of passengers' luggage on
this flight is too heavy. State the appropriate null and alternative hypotheses.
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(b)
Describe what a Type I error and a Type II error look like in this context.
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(c)
Explain the consequences of each type of error.
Which is the most serious?
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(d)
If you had to choose one of the "standard" significance levels for your significance test, would
you choose a = 0.01, 0.05, or 0.10? Justify your choice.
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(e) Discuss any concerns you have about how the data were produced.
2
