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. 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.

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Chapter1: Combinatorial Analysis
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6. 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. 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.
6.1.
Ben wants to perform a test to determine whether the mean weight µ of
passengers luggage on this flight is too heavy. State the appropriate null
and alternative hypotheses
6.2. Describe the two types of errors that you might make. Identify which is a
Type I error and which is a Type II error. Which one is more serious.
Transcribed Image Text:6. 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. 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. 6.1. Ben wants to perform a test to determine whether the mean weight µ of passengers luggage on this flight is too heavy. State the appropriate null and alternative hypotheses 6.2. Describe the two types of errors that you might make. Identify which is a Type I error and which is a Type II error. Which one is more serious.
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