### Home > CCA2 > Chapter Ch11 > Lesson 11.2.2 > Problem11-53

11-53.

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 conducted a simulation to determine the sample-to-sample variability and concluded that about $3\%\pm1.7\%$ 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.

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 $3\%\pm x\%$, where $x<1.7$.