Exercise 45 Page 289

We know that the consumer magazine calculated the sample-to-sample variability of the number of passengers who lose their luggage based on the survey of $250$ readers. We want to make a conjecture about what the number of passengers who lose their luggage might be if he magazine had surveyed $1000$ readers instead. Since $1000$ is greater than $250,$ the sample size would increase. When we increase the sample size, the variability decreases. This means that the the conjecture should contain a smaller margin of error. For example, we could make a conjecture that $3\%\pm 1\%$ of passengers lost their luggage on their last airplane flight.