### Home > INT3 > Chapter 6 > Lesson 6.2.2 > Problem6-45

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 $3\%$ $\pm1.7\%$ 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 of $250$.

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 $x < 1.7$.