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6-45. A consumer magazine randomly selects 250 of its readers and asks whether their luggage was lost on their last airplane flight. Seven out of the 250 lost their luggage. The consumer magazine conducts a simulation to determine the sample-to-sample variability and concludes that about 3% ± 1.7% of all passengers lose their luggage. Make a conjecture about what the number of passengers who lose their luggage might be if the magazine had surveyed 1000 readers instead of 250. Homework Help ✎

Will a larger sample size have more or less variability?

Answers will vary, but a larger sample size will have less variability.
Answers should be of the form 3% ± x%, where x < 1.7.